Question 1

Which interval notation represents the solution set of the inequality 2x + 5 ≤ 9?

Accepted Answer

[-2, 2]

Answer

(-∞, -2)

Answer

(-∞, ∞)

Answer

(-2, 2)

Answer

[2, ∞)

Question 2

Which of the following represents the solution set of the inequality -2x + 3 ≤ -7?

Accepted Answer

x ≥ 2

Answer

x ≥ -2

Answer

x < -2

Answer

x > 2

Answer

x ≤ -2

Question 3

Which of the following represents the solution set of the compound inequality |2x - 4| > 3?

Accepted Answer

x < 0 or x > 4

Answer

x < -2 or x > 8

Answer

x < -1 or x > 7

Answer

x < 2 or x > 6

Question 4

Which of the following represents the solution set of the compound inequality -4 ≤ 2x + 3 < 7?

Accepted Answer

-3 ≤ x < 2

Answer

-3 < x ≤ 2

Answer

-4 < x ≤ 3

Answer

-4 ≤ x < 3

Answer

-3 ≤ x ≤ 2

Question 5

Which of the following represents the solution set of the inequality 3x - 7 > 14?

Accepted Answer

x > 7

Answer

x < -7

Answer

x = 7

Answer

x > -7

Answer

x < 7

Question 6

Which of the following represents the solution set of the inequality 5x + 2 > 17?

Accepted Answer

x > 3

Answer

x < 3

Answer

x = 3

Answer

x > -3

Answer

x < -3

Question 7

Which of the following represents the solution set of the absolute value inequality |x - 5| < 3?

Accepted Answer

2 < x < 8

Answer

2 < x < 5

Answer

-2 < x < 2

Answer

5 < x < 8

Question 8

Which notation is commonly used to represent an inequality and its solution set on a number line?

Accepted Answer

Interval notation

Answer

Equation notation

Answer

Fraction notation

Answer

Absolute notation

Question 9

Which interval represents the solution to the absolute inequality |3x-5| < 10?

Accepted Answer

(-5/3, 5/3)

Answer

(-5/3, ∞)

Answer

(-∞, -5/3) ∪ (5/3, ∞)

Answer

(-∞, -5/3] ∪ [5/3, ∞)

Answer

[-5/3, 5/3]

Question 10

Which interval represents the solution to the absolute inequality |2x-3| ≥ 7?

Accepted Answer

(-∞, -2] ∪ [5/2, ∞)

Answer

(-2, 5/2)

Answer

(-∞, -5/2] ∪ [2, ∞)

Answer

(-∞, -2) ∪ (5/2, ∞)

Answer

(-∞, -2) ∪ [-5/2, ∞)

Question 11

Which interval represents the solution to the absolute inequality |5x + 2| ≤ 3?

Accepted Answer

(-∞, -1] ∪ [-1/5, ∞)

Answer

(-∞, -1) ∪ (-∞, 1/5)

Answer

(-1/5, 1/5)

Answer

(-∞, -1) ∪ [-1/5, ∞)

Answer

(-∞, -1] ∪ [1/5, ∞)

Question 12

Which of the following represents the solution set for the compound inequality 3x + 2 ≥ 8 and 2x - 1 < 5?

Accepted Answer

2 ≤ x < 4

Answer

2 > x ≥ 4

Answer

x < 2 or x ≥ 4

Answer

4 ≤ x < 2

Question 13

Which of the following represents the solution set for the compound inequality -3x + 4 > 10 or 2x - 5 ≤ -3?

Accepted Answer

x < -2 or x ≥ 1

Answer

x > -2 and x ≥ 1

Answer

x < -2 and x ≥ 1

Answer

x > -2 or x < 1

Question 14

Which is the correct solution to the compound inequality 4x > 12 or x ≤ -3?

Accepted Answer

x > 3 or x ≤ -3

Answer

x < 3 or x ≥ -3

Answer

x < 3 or x ≤ -3

Answer

x > 3 or x ≥ -3

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