Solving Linear Inequalities

Problem: 1

Graph the inequality 14 8a.

Problem: 3

Graph the inequality 4x + 3 23.

Problem: 5

Graph the inequality

Problem: 7

Solve the inequality and graph the solution set if it is not empty.

16x + 10 20

Problem: 9

Solve the inequality and graph the solution set if it is not empty.

13x – 6 5x + 12

Problem: 11

Solve the inequality and graph the solution set if it is not empty.

4(5z – 10) 60

Problem: 13

Solve the inequality and graph the solution set if it is not empty.

3(m – 3) – 8(m – 2) 4m + 3

Problem: 15

Solve the inequality and graph the solution set if it is not empty.

Problem: 17

Solve the inequality and graph the solution set if it is not empty.

9b – 5(b – 2) 6(b + 1)

Problem: 19

Solve the inequality and graph the solution set if it is not empty.

2.56x – 4.14 0

Problem: 21

Solve the inequality and graph the solution set if it is not empty.

Problem: 23

Solve the following inequality.

Problem: 25

Solve the following inequality.

Problem: 27

Write an inequality and solve.

Forty–five is greater than one–third a number.

Problem: 29

Write an inequality and solve.

Fifty–four is less than the opposite of 5 times a number.

Problem: 31

Check if x = 5 is a solution of the inequality.

3x + 12 18

Problem: 33

Check if x = 4 is a solution of the inequality.

8x – 14 10

Problem: 35

Check if x = 2 is a solution of the inequality.

–4 4x 8

Problem: 37

Solve and graph the solution of the inequality.

–3 x – 9 12

Problem: 39

Solve and graph the solution of the inequality.

–4 – n – 5 0

Problem: 41

Solve and graph the solution of the inequality.

–8 7x – 1 6

Problem: 43

Solve and graph the solution of the inequality.

x + 3 7 or x – 5 3

Problem: 45

Solve and graph the solution of the inequality.

–6x – 5 –1.6 or –3x + 1 13

Problem: 47

Solve and graph the solution of the inequality.

–0.1 4.2x – 2.2 12.5

Problem: 49

A Ferris wheel was designed with a diameter of 200 feet and each of its 40 cars could hold 55 passengers. Write an inequality that represents the number, n, of people on the single Ferris wheel.

Problem: 51

A teacher announces that course grades will be computed by taking 50% of a student's test score (0–100 points) and adding 50% of the oral exam score (0–100 points).

If a student scores 86 in the test, find her score on her oral exam so that she gets a course grade of at least 90?

Problem: 1

Graph the inequality 14 8a.

Problem: 3

Graph the inequality 4x + 3 23.

Problem: 5

Graph the inequality

Problem: 7

Solve the inequality and graph the solution set if it is not empty.

16x + 10 20

Problem: 9

Solve the inequality and graph the solution set if it is not empty.

13x – 6 5x + 12

Problem: 11

Solve the inequality and graph the solution set if it is not empty.

4(5z – 10) 60

Problem: 13

Solve the inequality and graph the solution set if it is not empty.

3(m – 3) – 8(m – 2) 4m + 3

Problem: 15

Solve the inequality and graph the solution set if it is not empty.

Problem: 17

Solve the inequality and graph the solution set if it is not empty.

9b – 5(b – 2) 6(b + 1)

Problem: 19

Solve the inequality and graph the solution set if it is not empty.

2.56x – 4.14 0

Problem: 21

Solve the inequality and graph the solution set if it is not empty.

Problem: 23

Solve the following inequality.

Problem: 25

Solve the following inequality.

Problem: 27

Write an inequality and solve.

Forty–five is greater than one–third a number.

Problem: 29

Write an inequality and solve.

Fifty–four is less than the opposite of 5 times a number.

Problem: 31

Check if x = 5 is a solution of the inequality.

3x + 12 18

Problem: 33

Check if x = 4 is a solution of the inequality.

8x – 14 10

Problem: 35

Check if x = 2 is a solution of the inequality.

–4 4x 8

Problem: 37

Solve and graph the solution of the inequality.

–3 x – 9 12

Problem: 39

Solve and graph the solution of the inequality.

–4 – n – 5 0

Problem: 41

Solve and graph the solution of the inequality.

–8 7x – 1 6

Problem: 43

Solve and graph the solution of the inequality.

x + 3 7 or x – 5 3

Problem: 45

Solve and graph the solution of the inequality.

–6x – 5 –1.6 or –3x + 1 13

Problem: 47

Solve and graph the solution of the inequality.

–0.1 4.2x – 2.2 12.5

Problem: 49

A Ferris wheel was designed with a diameter of 200 feet and each of its 40 cars could hold 55 passengers. Write an inequality that represents the number, n, of people on the single Ferris wheel.

Problem: 51

A teacher announces that course grades will be computed by taking 50% of a student's test score (0–100 points) and adding 50% of the oral exam score (0–100 points).

If a student scores 86 in the test, find her score on her oral exam so that she gets a course grade of at least 90?

Hotmath Practice Problems