Solving Multi-Step Inequalities Quiz

Test your skills with 25 challenging inequality problems covering absolute value, compound, and multi-step inequalities.

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Solve the inequality: 3x + 5 > 14

x < 3

x > 3

x < 2

x > 2

1 answered

What is the solution set for the inequality: 4x + 7 > 3x + 10?

x > 3

x < 3

x > -3

x < -3

1 answered

Solve the inequality: 2x + 3 > 5x - 1

x < 1

x > 1

x < -1

x > -1

1 answered

Solve the inequality: 2x - 5 > 3x + 2

x < -7

x > -7

x < -3

x > -3

1 answered

What is the solution set for the inequality: 2x + 6 > 3x - 5?

x > 11

x < 11

x > 5

x < 5

1 answered

Which of the following is the correct solution for the inequality: -2(4 - x) ≤ 3x - 6?

x ≥ 2

x ≤ 2

x > 2

x < 2

4 answered

Solve the compound inequality: 2x - 3 < 7 and 5x + 2 ≥ 17

-2 < x < 5

-5 < x < 2

-5 ≤ x ≤ 2

-2 ≤ x ≤ 5

1 answered

If 2x + 1 > 5 and 3x - 2 < 7, what is the solution to the system of inequalities?

x > 2

x < 2

x > 1

x < 1

1 answered

Solve the inequality: 2(3x + 4) ≥ 5x - 6

x ≤ -2

x ≥ -2

x < 2

x > 2

1 answered

#10

Which of the following represents the solution to the inequality: 3(2 - x) ≥ 2x + 5?

x ≤ -2

x ≥ -2

x < 2

x > 2

1 answered

#11

Solve the compound inequality: 3x - 2 > 7 or 2x + 5 < 12

x > 3 or x < -2

x > 3 and x < -2

x < 3 or x > -2

x < 3 and x > -2

#12

Which of the following is the correct solution for the inequality: 4(2 - x) + 5 ≥ 3x - 8?

x ≤ 3

x ≥ 3

x < 3

x > 3

#13

Solve the compound inequality: -3 < 2x + 1 ≤ 5

-2 < x ≤ 1

-2 ≤ x < 1

-1 < x ≤ 2

-1 ≤ x < 2

#14

If 3x - 2 < 7 and 2x + 4 ≥ 10, what is the solution to the system of inequalities?

x > 3

x < 3

x ≥ 2

x ≤ 2

#15

Solve the inequality: 2(5x + 3) ≥ 4x - 6

x ≤ -3

x ≥ -3

x < 3

x > 3

#16

What is the solution to the inequality: 4(2x - 3) > 5x + 2?

x > 14

x < 14

x > 10

x < 10

1 answered

#17

Solve the absolute value inequality: |3x + 1| < 7

-2 < x < 2

x > 2

x < -2

-2 ≤ x ≤ 2

1 answered

#18

Solve the compound inequality: -2 < 3x + 1 ≤ 7

-3 < x ≤ 2

-2 < x < 2

-3 ≤ x < 2

-2 ≤ x ≤ 3

2 answered

#19

If |2x - 1| < 4, what is the solution to the absolute value inequality?

-2 < x < 3

x > 3

x < -3

-3 < x < 2

1 answered

#20

What is the solution to the inequality: 5(3x - 2) ≤ 2(2x + 4)?

x ≥ 4

x < 4

x > 3

x ≤ 3

1 answered

#21

Solve the absolute value inequality: |4x + 3| < 9

-3 < x < 1

x > 1

x < -3

-3 ≤ x ≤ 1

#22

What is the solution to the inequality: 3(4x - 2) < 2x + 5?

x > 7

x < 7

x > 1

x < 1

#23

Solve the absolute value inequality: |5x + 3| ≤ 12

-3 ≤ x ≤ 3

x < -3 or x > 3

-5 ≤ x ≤ 2

x < -2 or x > 2

#24

Solve the compound inequality: -4 < 2x + 1 ≤ 8

-3 < x ≤ 3

-3 ≤ x < 3

-4 < x < 3

-4 ≤ x ≤ 3

#25

If |3x - 2| < 5, what is the solution to the absolute value inequality?

-1 < x < 1

x > 1

x < -1

-1 < x < 2

Solving Multi-Step Inequalities Quiz

Solve the inequality: 3x + 5 > 14

What is the solution set for the inequality: 4x + 7 > 3x + 10?

Solve the inequality: 2x + 3 > 5x - 1

Solve the inequality: 2x - 5 > 3x + 2

What is the solution set for the inequality: 2x + 6 > 3x - 5?

Which of the following is the correct solution for the inequality: -2(4 - x) ≤ 3x - 6?

Solve the compound inequality: 2x - 3 < 7 and 5x + 2 ≥ 17

If 2x + 1 > 5 and 3x - 2 < 7, what is the solution to the system of inequalities?

Solve the inequality: 2(3x + 4) ≥ 5x - 6

Which of the following represents the solution to the inequality: 3(2 - x) ≥ 2x + 5?

Solve the compound inequality: 3x - 2 > 7 or 2x + 5 < 12

Which of the following is the correct solution for the inequality: 4(2 - x) + 5 ≥ 3x - 8?

Solve the compound inequality: -3 < 2x + 1 ≤ 5

If 3x - 2 < 7 and 2x + 4 ≥ 10, what is the solution to the system of inequalities?

Solve the inequality: 2(5x + 3) ≥ 4x - 6

What is the solution to the inequality: 4(2x - 3) > 5x + 2?

Solve the absolute value inequality: |3x + 1| < 7

Solve the compound inequality: -2 < 3x + 1 ≤ 7

If |2x - 1| < 4, what is the solution to the absolute value inequality?

What is the solution to the inequality: 5(3x - 2) ≤ 2(2x + 4)?

Solve the absolute value inequality: |4x + 3| < 9

What is the solution to the inequality: 3(4x - 2) < 2x + 5?

Solve the absolute value inequality: |5x + 3| ≤ 12

Solve the compound inequality: -4 < 2x + 1 ≤ 8

If |3x - 2| < 5, what is the solution to the absolute value inequality?

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