Mathematics
Grade10
Easy
Question
Write an inequality to represent the following:
Any number greater than 5
- x > 5
- x ≥ 5
- x < 5
- x ≤ 5
Hint:
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
The correct answer is: x > 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.
It is used most often to compare two numbers on the number line by their size.
Related Questions to study
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
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
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: -6o is warmer than -12o
Hence, option(c) is the correct option.
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: -6o is warmer than -12o
Hence, option(c) is the correct option.
Hence, option(c) is the correct option.
Mathematics
What is other name of extreme value in a data set?
We have to find the other name of extreme value in a data set.
The maximum is the other name for the extreme value in a data set.
Hence, the correct option is A.
The maximum is the other name for the extreme value in a data set.
Hence, the correct option is A.
What is other name of extreme value in a data set?
MathematicsGrade10
We have to find the other name of extreme value in a data set.
The maximum is the other name for the extreme value in a data set.
Hence, the correct option is A.
The maximum is the other name for the extreme value in a data set.
Hence, the correct option is A.