Mathematics

Grade10

Easy

Question

# Write an inequality to represent the following:

a is at least six.

- a ≤ 6
- a > 6
- a ≥ 6
- a > 6

Hint:

### Use more than or equals to sign to form the inequality.

## The correct answer is: a ≥ 6

### STEP BY STEP SOLUTION

a is atleast 6 so a can be more than or equal to 6.

The inequality is a ≥ 6.

### Related Questions to study

Mathematics

### Write an inequality to represent the following:

Harry is taller than 60 inches.

STEP BY STEP SOLUTION

Harry is taller than 60 inches

Let the height of harry be h

The inequality is h > 60.

Harry is taller than 60 inches

Let the height of harry be h

The inequality is h > 60.

### Write an inequality to represent the following:

Harry is taller than 60 inches.

MathematicsGrade10

STEP BY STEP SOLUTION

Harry is taller than 60 inches

Let the height of harry be h

The inequality is h > 60.

Harry is taller than 60 inches

Let the height of harry be h

The inequality is h > 60.

Mathematics

### Write an inequality to represent the following:

The cost of the item is more than $25.

STEP BY STEP SOLUTION

The cost of an item is more than $25

Let the cost = c

cost is more than $25 so we will simply use the greater than sing to determine the inequality.

The inequality is c > 25.

The cost of an item is more than $25

Let the cost = c

cost is more than $25 so we will simply use the greater than sing to determine the inequality.

The inequality is c > 25.

### Write an inequality to represent the following:

The cost of the item is more than $25.

MathematicsGrade10

STEP BY STEP SOLUTION

The cost of an item is more than $25

Let the cost = c

cost is more than $25 so we will simply use the greater than sing to determine the inequality.

The inequality is c > 25.

The cost of an item is more than $25

Let the cost = c

cost is more than $25 so we will simply use the greater than sing to determine the inequality.

The inequality is c > 25.

Mathematics

### Write an inequality to represent the following:

Up to 12 people can ride in the van.

STEP BY STEP SOLUTION

Upto 12 people can ride a van

Let the number of people be v

This means that number of people that can ride a van is less than or equals to 12

The inequality is v ≤ 12.

Upto 12 people can ride a van

Let the number of people be v

This means that number of people that can ride a van is less than or equals to 12

The inequality is v ≤ 12.

### Write an inequality to represent the following:

Up to 12 people can ride in the van.

MathematicsGrade10

STEP BY STEP SOLUTION

Upto 12 people can ride a van

Let the number of people be v

This means that number of people that can ride a van is less than or equals to 12

The inequality is v ≤ 12.

Upto 12 people can ride a van

Let the number of people be v

This means that number of people that can ride a van is less than or equals to 12

The inequality is v ≤ 12.

Mathematics

### Write an inequality to represent the following:

The number of quarters in the jar is less than 75.

STEP BY STEP SOLUTION

The number of quater in a jar is less than 75

Let the number be n

The inequality is n < 75.

The number of quater in a jar is less than 75

Let the number be n

The inequality is n < 75.

### Write an inequality to represent the following:

The number of quarters in the jar is less than 75.

MathematicsGrade10

STEP BY STEP SOLUTION

The number of quater in a jar is less than 75

Let the number be n

The inequality is n < 75.

The number of quater in a jar is less than 75

Let the number be n

The inequality is n < 75.

Mathematics

### Write an inequality to represent the following:

A value does not equal .

STEP BY STEP SOLUTION

Inequality that value is not equal to

Let the value = v

The inequality is v ≠ 2.5.

Inequality that value is not equal to

Let the value = v

The inequality is v ≠ 2.5.

### Write an inequality to represent the following:

A value does not equal .

MathematicsGrade10

STEP BY STEP SOLUTION

Inequality that value is not equal to

Let the value = v

The inequality is v ≠ 2.5.

Inequality that value is not equal to

Let the value = v

The inequality is v ≠ 2.5.

Mathematics

### Write an inequality to represent the following:

Sherry is not 4 years old.

Inequality that shrey is not 4 years old

Let age of shrey = s

The inequality is s ≠ 4.

Let age of shrey = s

The inequality is s ≠ 4.

### Write an inequality to represent the following:

Sherry is not 4 years old.

MathematicsGrade10

Inequality that shrey is not 4 years old

Let age of shrey = s

The inequality is s ≠ 4.

Let age of shrey = s

The inequality is s ≠ 4.

Mathematics

### Literal equations use both __________ and __________. [Understanding]

SOLUTION-

A literal equations is an equation which consists primarily of letters. For eample formulas

Each variable in an equation "literally" represents an important part of whole relationship expressed by the equations.

So, Literal equations use both constants and variables.

A literal equations is an equation which consists primarily of letters. For eample formulas

Each variable in an equation "literally" represents an important part of whole relationship expressed by the equations.

So, Literal equations use both constants and variables.

### Literal equations use both __________ and __________. [Understanding]

MathematicsGrade10

SOLUTION-

A literal equations is an equation which consists primarily of letters. For eample formulas

Each variable in an equation "literally" represents an important part of whole relationship expressed by the equations.

So, Literal equations use both constants and variables.

A literal equations is an equation which consists primarily of letters. For eample formulas

Each variable in an equation "literally" represents an important part of whole relationship expressed by the equations.

So, Literal equations use both constants and variables.

Mathematics

### A compound inequality including “or” has the solutions of ___________.

We are asked about the word “or”.

When the word “and” is used, the values of the variables simultaneously satisfy both the inequalities.

If we plot the solutions on a graph, the final graph will be intersection of both the inequalities.

When the word “or” is used, the values of the variables satisfy either of the inequalities.

If we plot the solution graph, the final graph will show solutions of either of inequalities.

So, a compound inequality including “or” has the solutions of either of the inequalities.

When the word “and” is used, the values of the variables simultaneously satisfy both the inequalities.

If we plot the solutions on a graph, the final graph will be intersection of both the inequalities.

When the word “or” is used, the values of the variables satisfy either of the inequalities.

If we plot the solution graph, the final graph will show solutions of either of inequalities.

So, a compound inequality including “or” has the solutions of either of the inequalities.

### A compound inequality including “or” has the solutions of ___________.

MathematicsGrade10

We are asked about the word “or”.

When the word “and” is used, the values of the variables simultaneously satisfy both the inequalities.

If we plot the solutions on a graph, the final graph will be intersection of both the inequalities.

When the word “or” is used, the values of the variables satisfy either of the inequalities.

If we plot the solution graph, the final graph will show solutions of either of inequalities.

So, a compound inequality including “or” has the solutions of either of the inequalities.

When the word “and” is used, the values of the variables simultaneously satisfy both the inequalities.

If we plot the solutions on a graph, the final graph will be intersection of both the inequalities.

When the word “or” is used, the values of the variables satisfy either of the inequalities.

If we plot the solution graph, the final graph will show solutions of either of inequalities.

So, a compound inequality including “or” has the solutions of either of the inequalities.

Mathematics

### Solve 32 < 2x < 46.

The given statement is 32 < 2x < 46.

The quantity 2x is less than 46 and is greater than 32.

We will solve the problem using the rules to solve the inequalities.

We have to perform the same operation on all three terms.

32 < 2x < 46

We will divide all the three terms by 2. The sign of inequality is not flipped as we are dividing by positive numbers.

16 < x < 23

We cannot simplify it further.

So, the final answer is 16 < x < 23.

The quantity 2x is less than 46 and is greater than 32.

We will solve the problem using the rules to solve the inequalities.

We have to perform the same operation on all three terms.

32 < 2x < 46

We will divide all the three terms by 2. The sign of inequality is not flipped as we are dividing by positive numbers.

16 < x < 23

We cannot simplify it further.

So, the final answer is 16 < x < 23.

### Solve 32 < 2x < 46.

MathematicsGrade10

The given statement is 32 < 2x < 46.

The quantity 2x is less than 46 and is greater than 32.

We will solve the problem using the rules to solve the inequalities.

We have to perform the same operation on all three terms.

32 < 2x < 46

We will divide all the three terms by 2. The sign of inequality is not flipped as we are dividing by positive numbers.

16 < x < 23

We cannot simplify it further.

So, the final answer is 16 < x < 23.

The quantity 2x is less than 46 and is greater than 32.

We will solve the problem using the rules to solve the inequalities.

We have to perform the same operation on all three terms.

32 < 2x < 46

We will divide all the three terms by 2. The sign of inequality is not flipped as we are dividing by positive numbers.

16 < x < 23

We cannot simplify it further.

So, the final answer is 16 < x < 23.

Mathematics

### Find the area of the right-angled triangle if the height is 11 units and the base is *x* units, given that the area of the triangle lies between 17 and 42 sq. units

The height of the right-angled triangle is 11 units.

The base of the right-angled triangle is x units.

The area lies between the 17sq. units and 42sq. units. So, this question is of inequality. We have to write the mathematical form of this inequality.

The area of a right-angled triangle is given as follows:

Area =

Now, we will see the limits.

The area lies between 17sq. units and 42sq. units.

It means the area should be greater than 17sq. units and less than 42sq. units.

So, we can write

17 < Area < 42

Tbis is the given inequality.

The base of the right-angled triangle is x units.

The area lies between the 17sq. units and 42sq. units. So, this question is of inequality. We have to write the mathematical form of this inequality.

The area of a right-angled triangle is given as follows:

Area =

Now, we will see the limits.

The area lies between 17sq. units and 42sq. units.

It means the area should be greater than 17sq. units and less than 42sq. units.

So, we can write

17 < Area < 42

Tbis is the given inequality.

### Find the area of the right-angled triangle if the height is 11 units and the base is *x* units, given that the area of the triangle lies between 17 and 42 sq. units

MathematicsGrade10

The height of the right-angled triangle is 11 units.

The base of the right-angled triangle is x units.

The area lies between the 17sq. units and 42sq. units. So, this question is of inequality. We have to write the mathematical form of this inequality.

The area of a right-angled triangle is given as follows:

Area =

Now, we will see the limits.

The area lies between 17sq. units and 42sq. units.

It means the area should be greater than 17sq. units and less than 42sq. units.

So, we can write

17 < Area < 42

Tbis is the given inequality.

The base of the right-angled triangle is x units.

The area lies between the 17sq. units and 42sq. units. So, this question is of inequality. We have to write the mathematical form of this inequality.

The area of a right-angled triangle is given as follows:

Area =

Now, we will see the limits.

The area lies between 17sq. units and 42sq. units.

It means the area should be greater than 17sq. units and less than 42sq. units.

So, we can write

17 < Area < 42

Tbis is the given inequality.

Mathematics

### The inequality that is represented by graph 2 is ______.

STEP BY STEP SOLUTION

In the graph 2 x is geater than or equals to -2 but less that 5

So, The inequality that is represented by graph 2 is - 2 ≤ x < 5.

Inequality =

In the graph 2 x is geater than or equals to -2 but less that 5

So, The inequality that is represented by graph 2 is - 2 ≤ x < 5.

Inequality =

### The inequality that is represented by graph 2 is ______.

MathematicsGrade10

STEP BY STEP SOLUTION

In the graph 2 x is geater than or equals to -2 but less that 5

So, The inequality that is represented by graph 2 is - 2 ≤ x < 5.

Inequality =

In the graph 2 x is geater than or equals to -2 but less that 5

So, The inequality that is represented by graph 2 is - 2 ≤ x < 5.

Inequality =

Mathematics

### The solution of 2 < x ≤ 8 is ________.

Given: 2 < x ≤ 8

So, the numbers can be 3, 4, 5, 6, 7, 8.

Thus, the solution of 2 < x ≤ 8 is 3, 4, 5, 6, 7, 8.

Hence, option(b) is the correct option.

So, the numbers can be 3, 4, 5, 6, 7, 8.

Thus, the solution of 2 < x ≤ 8 is 3, 4, 5, 6, 7, 8.

Hence, option(b) is the correct option.

### The solution of 2 < x ≤ 8 is ________.

MathematicsGrade10

Given: 2 < x ≤ 8

So, the numbers can be 3, 4, 5, 6, 7, 8.

Thus, the solution of 2 < x ≤ 8 is 3, 4, 5, 6, 7, 8.

Hence, option(b) is the correct option.

So, the numbers can be 3, 4, 5, 6, 7, 8.

Thus, the solution of 2 < x ≤ 8 is 3, 4, 5, 6, 7, 8.

Hence, option(b) is the correct option.

Mathematics

### Write the inequality represented by the graph

The graph shown in the figure represents inequality x ≤ -1.2 and x ≥ - 0.4

Hence, option(c) is the correct option.

Hence, option(c) is the correct option.

### Write the inequality represented by the graph

MathematicsGrade10

The graph shown in the figure represents inequality x ≤ -1.2 and x ≥ - 0.4

Hence, option(c) is the correct option.

Hence, option(c) is the correct option.

Mathematics

### Write an inequality to represent the following:

Any number greater than 5

We have to write an expression for a number greater than 5.

Let the number be x. Then,

x > 5.

Hence, the correct option is B.

Let the number be x. Then,

x > 5.

Hence, the correct option is B.

### Write an inequality to represent the following:

Any number greater than 5

MathematicsGrade10

We have to write an expression for a number greater than 5.

Let the number be x. Then,

x > 5.

Hence, the correct option is B.

Let the number be x. Then,

x > 5.

Hence, the correct option is B.

Mathematics

### What is the solution of 0.2 x -4 - 2x < - 0.4 and 3x + 2.7 <3 ?

The given inequalities are as follows:

0.2x – 4 – 2x < -0.4 and 3x + 2.7 < 3

The word used to join them is “and”. So, we have to find the values of x satisfying both the statements.

When the word “and” is used, the values of the variables simultaneously satisfy both the inequalities.

When the word “or” is used, the values of the variables satisfy either of the inequalities.

We will solve the inequalities one by one.

0.2x – 4 – 2x < -0.4

We will take the variables together and solve them first.

0.2x – 2x – 4 < - 0.4

- 1.8x – 4 < - 0.4

We will isolate the variable by adding 4 to both the sides.

-1.8x – 4 + 4 < -0.4 + 4

- 1.8x < 3.6

Now, we will divide both the sides by -1.8. As we are dividing by a negative number, the inequality will flip.

x > -2

3x + 2.7 < 3

We will isolate the variable by subtracting 2.7 from both the sides.

3x + 2.7 – 2.7 < 3 – 2.7

3x < 0.3

Dividing both the sides by 3 we get,

x < 0.1

Now, the values satisfying the two inequalities are given as follows:

x > -2

x < 0.1

We can combine the solution and write the intersection of the solution as follow:

-2 < x < 0.1

So, the solution is -2 < x < 0.1.

0.2x – 4 – 2x < -0.4 and 3x + 2.7 < 3

The word used to join them is “and”. So, we have to find the values of x satisfying both the statements.

When the word “and” is used, the values of the variables simultaneously satisfy both the inequalities.

When the word “or” is used, the values of the variables satisfy either of the inequalities.

We will solve the inequalities one by one.

0.2x – 4 – 2x < -0.4

We will take the variables together and solve them first.

0.2x – 2x – 4 < - 0.4

- 1.8x – 4 < - 0.4

We will isolate the variable by adding 4 to both the sides.

-1.8x – 4 + 4 < -0.4 + 4

- 1.8x < 3.6

Now, we will divide both the sides by -1.8. As we are dividing by a negative number, the inequality will flip.

x > -2

3x + 2.7 < 3

We will isolate the variable by subtracting 2.7 from both the sides.

3x + 2.7 – 2.7 < 3 – 2.7

3x < 0.3

Dividing both the sides by 3 we get,

x < 0.1

Now, the values satisfying the two inequalities are given as follows:

x > -2

x < 0.1

We can combine the solution and write the intersection of the solution as follow:

-2 < x < 0.1

So, the solution is -2 < x < 0.1.

### What is the solution of 0.2 x -4 - 2x < - 0.4 and 3x + 2.7 <3 ?

MathematicsGrade10

The given inequalities are as follows:

0.2x – 4 – 2x < -0.4 and 3x + 2.7 < 3

The word used to join them is “and”. So, we have to find the values of x satisfying both the statements.

When the word “and” is used, the values of the variables simultaneously satisfy both the inequalities.

When the word “or” is used, the values of the variables satisfy either of the inequalities.

We will solve the inequalities one by one.

0.2x – 4 – 2x < -0.4

We will take the variables together and solve them first.

0.2x – 2x – 4 < - 0.4

- 1.8x – 4 < - 0.4

We will isolate the variable by adding 4 to both the sides.

-1.8x – 4 + 4 < -0.4 + 4

- 1.8x < 3.6

Now, we will divide both the sides by -1.8. As we are dividing by a negative number, the inequality will flip.

x > -2

3x + 2.7 < 3

We will isolate the variable by subtracting 2.7 from both the sides.

3x + 2.7 – 2.7 < 3 – 2.7

3x < 0.3

Dividing both the sides by 3 we get,

x < 0.1

Now, the values satisfying the two inequalities are given as follows:

x > -2

x < 0.1

We can combine the solution and write the intersection of the solution as follow:

-2 < x < 0.1

So, the solution is -2 < x < 0.1.

0.2x – 4 – 2x < -0.4 and 3x + 2.7 < 3

The word used to join them is “and”. So, we have to find the values of x satisfying both the statements.

When the word “and” is used, the values of the variables simultaneously satisfy both the inequalities.

When the word “or” is used, the values of the variables satisfy either of the inequalities.

We will solve the inequalities one by one.

0.2x – 4 – 2x < -0.4

We will take the variables together and solve them first.

0.2x – 2x – 4 < - 0.4

- 1.8x – 4 < - 0.4

We will isolate the variable by adding 4 to both the sides.

-1.8x – 4 + 4 < -0.4 + 4

- 1.8x < 3.6

Now, we will divide both the sides by -1.8. As we are dividing by a negative number, the inequality will flip.

x > -2

3x + 2.7 < 3

We will isolate the variable by subtracting 2.7 from both the sides.

3x + 2.7 – 2.7 < 3 – 2.7

3x < 0.3

Dividing both the sides by 3 we get,

x < 0.1

Now, the values satisfying the two inequalities are given as follows:

x > -2

x < 0.1

We can combine the solution and write the intersection of the solution as follow:

-2 < x < 0.1

So, the solution is -2 < x < 0.1.