Mathematics

Grade10

Easy

Question

# Write the inequality represented by the graph

- x ≤ - 1.2 and x ≥ - 0.4
- - 1.2 < x < - 0.4
- - 1.2 ≤ x ≤ - 0.4
- x = 0

## The correct answer is: x ≤ - 1.2 and x ≥ - 0.4

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

Hence, option(c) is the correct option.

### Related Questions to study

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.

Mathematics

### Find the area of the right-angled triangle if the height is 5 units and the base is *x* units, given that the area of the triangle lies between 10 and 35 sq. units

The area of the right-angled triangle =

=

Inequality representing the area of triangle =

=

Inequality representing the area of triangle =

### Find the area of the right-angled triangle if the height is 5 units and the base is *x* units, given that the area of the triangle lies between 10 and 35 sq. units

MathematicsGrade10

The area of the right-angled triangle =

=

Inequality representing the area of triangle =

=

Inequality representing the area of triangle =

Mathematics

### Solve - 8 < 2 (x + 4) or - 3x + 4 > x - 4

8 < 2(x + 4)

- 8 < 2x + 8

- 16 < 2x

- 8 < x

- 3x + 4 > x - 4

- 3x + 8 > x

8 > 4x

2 > x

So, - 8 < x < 2

- 8 < 2x + 8

- 16 < 2x

- 8 < x

- 3x + 4 > x - 4

- 3x + 8 > x

8 > 4x

2 > x

So, - 8 < x < 2

### Solve - 8 < 2 (x + 4) or - 3x + 4 > x - 4

MathematicsGrade10

8 < 2(x + 4)

- 8 < 2x + 8

- 16 < 2x

- 8 < x

- 3x + 4 > x - 4

- 3x + 8 > x

8 > 4x

2 > x

So, - 8 < x < 2

- 8 < 2x + 8

- 16 < 2x

- 8 < x

- 3x + 4 > x - 4

- 3x + 8 > x

8 > 4x

2 > x

So, - 8 < x < 2

Mathematics

### Write the compound inequality that represents the area A of the rectangle if 35 ≥ A ≥ 25.

Step by step solution:

The compound function representing the area of the rectangle is 35 ≥ A ≥ 25 [given]

Now, 35 ≥ A ≥ 25

35 ≥ 5x ≥ 25 [ A = 5x]

Hence, option(d) is the correct option.

The compound function representing the area of the rectangle is 35 ≥ A ≥ 25 [given]

Now, 35 ≥ A ≥ 25

35 ≥ 5x ≥ 25 [ A = 5x]

Hence, option(d) is the correct option.

### Write the compound inequality that represents the area A of the rectangle if 35 ≥ A ≥ 25.

MathematicsGrade10

Step by step solution:

The compound function representing the area of the rectangle is 35 ≥ A ≥ 25 [given]

Now, 35 ≥ A ≥ 25

35 ≥ 5x ≥ 25 [ A = 5x]

Hence, option(d) is the correct option.

The compound function representing the area of the rectangle is 35 ≥ A ≥ 25 [given]

Now, 35 ≥ A ≥ 25

35 ≥ 5x ≥ 25 [ A = 5x]

Hence, option(d) is the correct option.

Mathematics

### The inequality that is represented by graph 4 is ______.

The inequality that is represented by graph 4 is - 2 ≤ x ≤ 5.

Hence, option(d) is the correct option.

Hence, option(d) is the correct option.

### The inequality that is represented by graph 4 is ______.

MathematicsGrade10

The inequality that is represented by graph 4 is - 2 ≤ x ≤ 5.

Hence, option(d) is the correct option.

Hence, option(d) is the correct option.

Mathematics

### The compound function that represents the graph is __________.

The inequality represented by the graph talks about the numbers less than or equal to -4 and greater than or equal to -1.

The inequalities will be x ≤ - 4 and x ≥ - 1

Hence, option(b) is the correct option.

The inequalities will be x ≤ - 4 and x ≥ - 1

Hence, option(b) is the correct option.

### The compound function that represents the graph is __________.

MathematicsGrade10

The inequality represented by the graph talks about the numbers less than or equal to -4 and greater than or equal to -1.

The inequalities will be x ≤ - 4 and x ≥ - 1

Hence, option(b) is the correct option.

The inequalities will be x ≤ - 4 and x ≥ - 1

Hence, option(b) is the correct option.

Mathematics

### Write a compound inequality for the given graph

step by step solution:

The compound inequality that represents the given data is - 5 ≤ x ≤ - 1.

Hence, option(d) is the correct option.

The compound inequality that represents the given data is - 5 ≤ x ≤ - 1.

Hence, option(d) is the correct option.

### Write a compound inequality for the given graph

MathematicsGrade10

step by step solution:

The compound inequality that represents the given data is - 5 ≤ x ≤ - 1.

Hence, option(d) is the correct option.

The compound inequality that represents the given data is - 5 ≤ x ≤ - 1.

Hence, option(d) is the correct option.

Mathematics

### Which inequality is the same as “pick a number between -3 and 7?”

The inequality that represents the statement “pick a number between - 3 and 7” is - 3 < x < 7.

Hence, option(d) is the correct option.

Hence, option(d) is the correct option.

### Which inequality is the same as “pick a number between -3 and 7?”

MathematicsGrade10

The inequality that represents the statement “pick a number between - 3 and 7” is - 3 < x < 7.

Hence, option(d) is the correct option.

Hence, option(d) is the correct option.

Mathematics

### Solve 12 < 2x < 28

The compound inequality 12 < 2x < 28 involves “and.”

Solving 12 < 2x

6 < x

x > 6

Solving 2x < 28

x < 14

So, the solution of the inequality given is “x > 6 and x < 14” or “6 < x < 14.”

Solving 12 < 2x

6 < x

x > 6

Solving 2x < 28

x < 14

So, the solution of the inequality given is “x > 6 and x < 14” or “6 < x < 14.”

### Solve 12 < 2x < 28

MathematicsGrade10

The compound inequality 12 < 2x < 28 involves “and.”

Solving 12 < 2x

6 < x

x > 6

Solving 2x < 28

x < 14

So, the solution of the inequality given is “x > 6 and x < 14” or “6 < x < 14.”

Solving 12 < 2x

6 < x

x > 6

Solving 2x < 28

x < 14

So, the solution of the inequality given is “x > 6 and x < 14” or “6 < x < 14.”

Mathematics

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

A compound inequality including “and” has the solutions of both the inequalities.

Hence, option(b) is the correct option.

Hence, option(b) is the correct option.

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

MathematicsGrade10

A compound inequality including “and” has the solutions of both the inequalities.

Hence, option(b) is the correct option.

Hence, option(b) is the correct option.

Mathematics

### The two inequalities form a ______________.

The two inequalities form a compound inequality.

Hence, option(b) is the correct option.

Hence, option(b) is the correct option.

### The two inequalities form a ______________.

MathematicsGrade10

The two inequalities form a compound inequality.

Hence, option(b) is the correct option.

Hence, option(b) is the correct option.

Mathematics

### Solve the inequality:

0.6x ≤ 3

0.6x ≤ 3

x ≤ 5

x ≤ 5

### Solve the inequality:

0.6x ≤ 3

MathematicsGrade10

0.6x ≤ 3

x ≤ 5

x ≤ 5

Mathematics

### Identify the inequality that matches the picture.

The closed circle shows that 3 is also included.

The inequality that matches is x ≤ 3.

Hence, option(c) is the correct option.

The inequality that matches is x ≤ 3.

Hence, option(c) is the correct option.

### Identify the inequality that matches the picture.

MathematicsGrade10

The closed circle shows that 3 is also included.

The inequality that matches is x ≤ 3.

Hence, option(c) is the correct option.

The inequality that matches is x ≤ 3.

Hence, option(c) is the correct option.

Mathematics

### Find the statement that best describes the inequality - 6 > - 12

The statement that best describes the inequality - 6 > - 12 is: -6

Hence, option(c) is the correct option.

^{o}is warmer than -12^{o }Hence, option(c) is the correct option.

### Find the statement that best describes the inequality - 6 > - 12

MathematicsGrade10

The statement that best describes the inequality - 6 > - 12 is: -6

Hence, option(c) is the correct option.

^{o}is warmer than -12^{o }Hence, option(c) is the correct option.