Compound Inequalities

1 < x < 3

-2 < -3x + 7 < 4

-6 < x < 1

-20 < 3x - 2 < 1

2.5 < x < 4

-9 < -2x - 1 < -6

1 < x < 8

Solve and write solution -2 < x - 3 < 5

x < 1 or x > 5

Solve and write solution -4 + x > 1 or -4 + x < -3

-4 ≤ x < 3

Solve and write solution -5 ≤ 2x + 3 < 9

x ≤ 3 or x > 4

Solve and write solution 2x ≤ 6 or 3x > 12

2 ≤ x ≤ 6

Solve and write solution 4 ≤ x+2 ≤ 8

x ≤ -1 or x ≥ 3

Solve and write solution x - 5 ≥ -2 or x - 5 ≤ -6

-4 < x ≤ 2

Solve and write solution in set notation. -10 < 3x + 2 ≤ 8

x < 4 or x ≥ 6

Solve and write solution in set notation. 4x - 1 < 15 or 8x ≥ 48

x = 0, 3.1 and 4

What are three solutions to the following compound inequality? -1 < x < 5

x = 3, 7.1 and 12

What are three solutions to the following compound inequality? 3 ≤ x < 13

x = -3, 5 and 6

What are three solutions to the following compound inequality? x ≤ -3 or x > 4

x = -1, 0 and 1

What are three solutions to the following compound inequality? x ≤ 2 or x > 9

14 ≤ w ≤ 16

Write a compound inequality for the following situation. The ball used in a soccer game may not weigh more than 16 ounces or less than 14 ounces at the start of the match, inclusive.

80 ≤ a ≤ 120

Write a compound inequality for the following situation. The recommended alkalinity level for swimming pool water is between 80 and 120 parts per million, inclusive.