Linear and Compound Inequalities

Solve the compound inequality: 3x + 2 > 8 or 2x - 5 < 3.

• x > 2 or x < 3

• x > 4 or x < 2

• x > 3 or x < 2

• x > 2 or x < 4

Solve the compound inequality: 2x + 3 < 7 and 5x - 2 > 13.

• x < 2 and x > 3

• x > 2 or x < 3

• No solution

• x > 2 and x < 3

Write the interval notation for the solution set of the inequality: -4 ≤ x < 2.

• [-4, 2]

• (-∞, -4)

• (-∞, -4]

• [-4, 2)

Find the intersection of the inequalities: 3x - 2 > 4 and 2x + 1 < 5.

• x > 2

• x < 1

• x = 0

• No solution

Find the union of the inequalities: x + 3 > 2 or 2x - 5 < 7.

• x > -1 or x > 6

• x < -1 or x > 6

• x > -1 and x < 6

• x > -1 or x < 6

Solve the linear inequality: 4x - 5 ≤ 3x + 2.

• x ≥ 7

• x ≤ 7

• x < 7

• x > 7

Write the interval notation for the solution set of the inequality: x > -2.

• (-∞, -2)

• (-2, ∞)

• (-∞, -2]

• (-2, ∞]

Find the union of the inequalities: 2x - 3 > 4 or x + 2 < 1.

• x < -1 or x > 3.5

• x < -2 or x > 3.5

• x < -1 or x > 4

• x < -1 or x > 2

Write the interval notation for the solution set of the inequality: -3 ≤ x ≤ 5.

• [-3, 5]

• (-∞, 5)

• (-∞, -3]

• (-∞, -3)

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3