Question 1

Which of the following is the solution to the inequality |2x + 3| ≤ 5?

Accepted Answer

-4 ≤ x ≤ 1

Answer

x < -5 or x > 0

Answer

x < -3 or x > 2

Answer

x < -4 or x > 1

Question 2

Solve the absolute value inequality |5x + 2| < 3.

Accepted Answer

-1 < x < 1

Answer

x < -1 or x > 1

Answer

x < -3 or x > 3

Answer

x < -2 or x > 2

Question 3

Solve the absolute value inequality |2x - 1| ≥ 7.

Accepted Answer

x ≤ -3 or x ≥ 4

Answer

x ≤ -5 or x ≥ 2

Answer

x ≤ -4 or x ≥ 3

Answer

x ≤ -8 or x ≥ 6

Question 4

What is the solution to the absolute value inequality |3x - 5| > 10?

Accepted Answer

x < -5/3 or x > 15/3

Answer

x < -15/3 or x > 5/3

Answer

x < -10/3 or x > 20/3

Answer

x < -20/3 or x > 10/3

Question 5

Solve the absolute value inequality |2x + 4| ≤ 8.

Accepted Answer

-6 ≤ x ≤ 2

Answer

x < -8 or x > 0

Answer

x < -6 or x > 2

Answer

x < -5 or x > 3

Question 6

Find the solution to the absolute value inequality |5x - 3| ≥ 12.

Accepted Answer

x ≤ -3 or x ≥ 3

Answer

x ≤ -9 or x ≥ 9

Answer

x ≤ -6 or x ≥ 6

Answer

x ≤ -12 or x ≥ 12

Question 7

What is the solution to the absolute value inequality |x + 2| < 5?

Accepted Answer

-7 < x < 3

Answer

x < -7 or x > 3

Answer

x < -3 or x > 7

Answer

x < -5 or x > 5

Question 8

Solve the absolute value inequality |4x - 7| > 9.

Accepted Answer

x < -2 or x > 4

Answer

x < -3 or x > 5

Answer

x < -4 or x > 1

Answer

x < -5 or x > 2

Question 9

Solve the absolute value inequality |2x - 1| ≤ 3.

Accepted Answer

-1 ≤ x ≤ 2

Answer

x < -3 or x > 0

Answer

x < -2 or x > 1

Answer

x < -1 or x > 2

Question 10

The absolute value of a number is always

Accepted Answer

positive

Answer

negative

Answer

undefined

Answer

zero

Question 11

What is the solution to the equation |2x - 6| = 10?

Accepted Answer

x = 8

Answer

x = -2

Answer

x = 2

Answer

x = -8

Question 12

What is the solution to the equation |3x - 9| = 12?

Accepted Answer

x = 7

Answer

x = -7

Answer

x = 3

Answer

x = -3

Question 13

What is the solution to the equation |5x - 10| = 20?

Accepted Answer

x = 6

Answer

x = -4

Answer

x = -6

Answer

x = 4

Question 14

What is the solution to the equation |x - 3| = 5?

Accepted Answer

x = -2 or x = 8

Answer

x = -5 or x = 1

Answer

x = -3 or x = 7

Answer

x = 2 or x = -8

Question 15

What is the solution to the equation |2x - 5| = 7?

Accepted Answer

x = 6 or x = -1

Answer

x = 4 or x = 9

Answer

x = -5 or x = 2

Answer

x = 2 or x = -7

Question 16

What is the solution to the equation |x + 4| = 9?

Accepted Answer

x = 5 or x = -13

Answer

x = -5 or x = 13

Answer

x = -4 or x = 8

Answer

x = 3 or x = -7

Question 17

What is the solution to the equation |2x + 5| = 15?

Accepted Answer

x = 5 or x = -10

Answer

x = 3 or x = -7

Answer

x = -5 or x = 10

Answer

x = -2 or x = 7

Question 18

What is the solution to the equation |x + 2| = 8?

Accepted Answer

x = 6 or x = -10

Answer

x = -8 or x = 12

Answer

x = 4 or x = -7

Answer

x = -6 or x = 10

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