Inequalities: Master the Basics with Interactive Quizzes

Question 1

Solve the inequality: x + 3 is less than 7

Accepted Answer

x < 4

Answer

x > 4

Answer

x < 3

Answer

x > 3

Question 2

Which number line correctly represents the inequality x is greater than 2?

Accepted Answer

[Image of number line with shaded area to the right of 2]

Answer

[Image of number line with shaded area to the left of 2]

Answer

[Image of number line with shaded area to the left and right of 2]

Answer

[Image of number line with no shading]

Question 3

Which of the following is true about the inequality x is less than or equal to 5?

Accepted Answer

x can be equal to 5

Answer

x can be greater than 5

Answer

x cannot be negative

Answer

x must be a whole number

Question 4

Which of the following is the correct inequality that represents the shaded area on the number line?

Accepted Answer

x is greater than -2 and less than 3

Answer

[Image of number line with shaded area between -2 and 3]

Answer

x is less than -2 or greater than 3

Answer

x is less than or equal to -2 and greater than or equal to 3

Question 5

Solve the inequality: (x + 2)(x - 3) is greater than 0

Accepted Answer

x is less than -2 or greater than 3

Answer

x is greater than -2 and less than 3

Answer

-2 is less than x and x is less than 3

Answer

x is less than -2 and greater than 3

Question 6

Solve the inequality x - 5 < 2 and represent the solution set on a number line.

Accepted Answer

x < 7

Answer

x > 7

Answer

x > -3

Answer

x < -3

Question 7

Which of the following is an inequality symbol?

Accepted Answer

>

Answer

=

Answer

+

Answer

-

Question 8

Solve the inequality: x is less than 5.

Accepted Answer

x is less than 5

Answer

x is greater than 5

Answer

x equals 5

Answer

x is greater than 0

Question 9

Which of the following inequalities is equivalent to x is less than 3?

Accepted Answer

3 is greater than x

Answer

x - 3 is greater than 0

Answer

-x is less than 3

Answer

3 - x is less than 0

Question 10

What is the greatest whole number that satisfies the inequality: x^2 - 5x + 4 is greater than 0?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 11

Which option shows the correct graphical representation of the inequality 'x > 5' on a number line?

Accepted Answer

(5, ∞)

Answer

(∞, 5)

Answer

[5, ∞)

Answer

[-∞, 5]

Question 12

Which expression is equivalent to the inequality: 2x + 5 > 7?

Accepted Answer

x > 1

Answer

x > 2

Answer

x < 1

Answer

x < 2

Question 13

Solve the inequality: |x - 2| < 3

Accepted Answer

-1 < x < 5

Answer

-5 < x < 1

Answer

x < -5 or x > 1

Answer

x < -1 or x > 5

Question 14

What is the range of possible values for x in the inequality: 2 ≤ x - 3 ≤ 6?

Accepted Answer

3 ≤ x ≤ 9

Answer

1 ≤ x ≤ 3

Answer

5 ≤ x ≤ 11

Answer

7 ≤ x ≤ 13

Question 15

Which inequality represents the statement 'x is greater than or equal to 5'?

Accepted Answer

x ≥ 5

Answer

x > 5

Answer

x < 5

Answer

x ≤ 5

Question 16

Which number line correctly represents the inequality x > 3?

Accepted Answer

An image of a number line from -2 to 5 with an open circle at 3 and a rightward arrow

Answer

An image of a number line from -2 to 5 with a closed circle at 3 and a rightward arrow

Answer

An image of a number line from -2 to 5 with an open circle at 3 and a leftward arrow

Answer

An image of a number line from -2 to 5 with a closed circle at 3 and a leftward arrow

Question 17

Which inequality is equivalent to 2(x + 1) ≥ 8?

Accepted Answer

x ≥ 3

Answer

x < 3

Answer

x > 3

Answer

x ≤ 3

Question 18

The temperature in London is currently -2°C. Which inequality represents the condition that the temperature must increase by more than 5°C to be above freezing?

Accepted Answer

-2 + 5 > 0

Answer

-2 - 5 > 0

Answer

-2 + 5 < 0

Answer

-2 - 5 < 0

Question 19

Which is NOT a property of inequalities?

Accepted Answer

If a > b, then -a < -b

Answer

If a > b and b > c, then a > c

Answer

If a > b, then a + c > b + c

Answer

If a > b, then a - c > b - c

Question 20

Solve the compound inequality: -3 < 2x - 5 ≤ 7

Accepted Answer

2 < x < 6

Answer

x < 2

Answer

x < 6

Answer

x > 6

Question 21

Which is the solution set of the inequality x² - 4 > 0?

Accepted Answer

x < -2 or x > 2

Answer

x > -2 or x < 2

Answer

x < -2 and x > 2

Answer

x > -2 and x < 2

Question 22

Which represents the inequality 'The sum of x and y is less than or equal to 10'?

Accepted Answer

x + y ≤ 10

Answer

x + y ≥ 10

Answer

x - y ≤ 10

Answer

x - y ≥ 10

Question 23

Which of the following is the solution set of the inequality X < 3 and X > -2?

Accepted Answer

X is between -2 and 3

Answer

All numbers

Answer

X is greater than -2

Answer

X is less than 3

Question 24

Which of the following is the negation of the inequality X + 3 >= 8?

Accepted Answer

X + 3 is less than 8

Answer

X + 3 is greater than 8

Answer

X + 3 is less than or equal to 8

Answer

X + 3 is not equal to 8

Question 25

Which inequality represents "x is greater than or equal to -5"?

Accepted Answer

x ≥ -5

Answer

x > -5

Answer

x < -5

Answer

x ≤ -5

Question 26

Which number line represents the inequality x is greater than 2?

Accepted Answer

Answer

Answer

Answer

Question 27

What is the solution set of the inequality 2x + 5 is less than or equal to 13?

Accepted Answer

x is less than or equal to 4

Answer

x is greater than or equal to 4

Answer

x is less than or equal to -4

Answer

x is greater than or equal to -4

Question 28

Solve the inequality: 3(x - 2) is greater than 6

Accepted Answer

x is greater than 8

Answer

x is less than 8

Answer

x is greater than 4

Answer

x is less than 4

Question 29

Which inequality is equivalent to x is less than or equal to -3?

Accepted Answer

-x is less than or equal to 3

Answer

-x is greater than or equal to 3

Answer

x is greater than or equal to -3

Answer

x is less than or equal to 3

Question 30

Which inequality represents "x is less than -2 but greater than or equal to -5"?

Accepted Answer

-2 is less than or equal to x is less than -5

Answer

-5 is less than or equal to x is less than -2

Answer

-2 is less than x is less than -5

Answer

-5 is less than x is less than -2

Question 31

Which is an example of how inequalities are used in the real world?

Accepted Answer

Calculating the maximum weight a bridge can hold

Answer

Predicting the next day's weather

Answer

Translating a poem into another language

Answer

Writing a computer program

Question 32

On a number line, which interval represents the inequality 'x is greater than 5'?

Accepted Answer

(5, ∞)

Answer

[-∞, 5)

Answer

[-5, ∞)

Answer

(-∞, -5)

Question 33

The sum of two numbers is less than 10. If one number is x, what is the other number?

Accepted Answer

10 - x

Answer

10 + x

Answer

x - 10

Answer

x + 10

Question 34

Which inequality represents the statement 'The number of students in a class is at most 30'?

Accepted Answer

x ≤ 30

Answer

x ≥ 30

Answer

x > 30

Answer

x < 30

Question 35

The product of two numbers is greater than 12. If one number is 4, what inequality represents the other number?

Accepted Answer

x > 3

Answer

x < 3

Answer

x > 1/3

Answer

x < 1/3

Question 36

What is the solution set of the inequality x^2 - 4 < 0?

Accepted Answer

-2 < x < 2

Answer

x < -2

Answer

x > -2

Answer

There is no solution.

Question 37

Solve the inequality:  x   - 3  > 10

Accepted Answer

x > 7

Answer

x < 7

Answer

x < -7

Answer

x > -7

Question 38

Which of the following is the inequality for 'x is greater than 5'?

Accepted Answer

x > 5

Answer

x < 5

Answer

x >= 5

Answer

x <= 5

Question 39

Which number satisfies the inequality:  x - 5  >= 2?

Accepted Answer

7

Answer

1

Answer

5

Answer

10

Question 40

Which of the following inequalities represents the set of all numbers greater than or equal to -2?

Accepted Answer

x ≥ -2

Answer

x ≤ -2

Answer

x > -2

Answer

x < -2

Question 41

Which of the following is the correct order of the numbers from least to greatest: -3, 0, 1, -2

Accepted Answer

-3 < -2 < 0 < 1

Answer

-2 < -3 < 0 < 1

Answer

0 < 1 < -3 < -2

Answer

1 < 0 < -3 < -2

Question 42

Which of these is an inequality?

Accepted Answer

x + 5 > 10

Answer

x / 5 = 10

Answer

x = 10

Answer

x - 5 = 10

Question 43

Solve the inequality: 2x + 5 < 15

Accepted Answer

x < 5

Answer

x > 10

Answer

x > 5

Answer

x < 10

Question 44

What is the solution to the inequality: x - 5 > 0?

Accepted Answer

x > 5

Answer

x > 0

Answer

x < 0

Answer

x < 5

Question 45

Solve the inequality: (x + 5) / 2 > 10

Accepted Answer

x > 15

Answer

x > 5

Answer

x < 5

Answer

x < 15

Question 46

What is the solution to x - 3 > 5?

Accepted Answer

x > 8

Answer

x > -2

Answer

x < 8

Answer

x < -2

Question 47

Which of these is NOT a solution to the inequality: 2x + 1 < 7?

Accepted Answer

x = 3

Answer

x = 0

Answer

x = 1

Answer

x = 2

Question 48

The sum of two numbers, x and y, is less than 10. Which inequality shows this?

Accepted Answer

x + y < 10

Answer

x + y > 10

Answer

x - y > 10

Answer

x - y < 10

Question 49

Which of these is the same as x > 2?

Accepted Answer

2 < x

Answer

x ≤ 2

Answer

x < 2

Answer

2 > x

Question 50

The temperature is below freezing. Which inequality shows this?

Accepted Answer

T < 0

Answer

T ≤ 0

Answer

T > 0

Question 51

Which of the following inequalities is true for all values of x?

Accepted Answer

x < x + 1

Answer

x > x + 1

Answer

x ≤ x + 1

Answer

x ≥ x + 1

Question 52

The perimeter of a rectangle is less than 24 cm. If the length of the rectangle is 6 cm, what is the maximum possible width of the rectangle?

Accepted Answer

9 cm

Answer

12 cm

Answer

18 cm

Answer

15 cm