Absolute Value Inequalities Quiz

Which of the following is the correct way to solve the absolute value inequality |2x + 3| > 5?

• 2x + 3 > 5
• 2x + 3 < -5
• 2x + 3 > -5
• 2x + 3 < 5

What is the solution to the absolute value inequality |4x - 2| ≤ 10?

• x ≤ 3
• x ≥ 3
• x ≤ 2
• x ≥ 2

Which of the following is the correct way to solve the absolute value inequality |3 - 2x| > 7?

• 3 - 2x > 7
• 3 - 2x < -7
• 3 - 2x > -7
• 3 - 2x < 7

What is the solution to the absolute value inequality |5x + 4| ≥ 12?

• x ≤ -16/5 or x ≥ 8/5
• x ≤ -8/5 or x ≥ 16/5
• x ≤ -16/5 and x ≥ 8/5
• x ≤ -8/5 and x ≥ 16/5

Which of the following is the correct way to solve the absolute value inequality |2 - 3x| < 1?

• 2 - 3x < 1
• 2 - 3x > -1
• 2 - 3x < -1
• 2 - 3x > 1

What is the solution to the absolute value inequality |6x - 5| > 3?

• x > 8/6 or x < 2/6
• x > 2/6 or x < 8/6
• x > 8/6 and x < 2/6
• x > 2/6 and x < 8/6

Which of the following is the correct way to solve the absolute value inequality |4 + 5x| ≤ 9?

• 4 + 5x ≤ 9
• 4 + 5x ≥ -9
• 4 + 5x ≤ -9
• 4 + 5x ≥ 9

What is the solution to the absolute value inequality |2x - 1| < 4?

• -3 < x < 5/2
• -3 < x < 1/2
• 1/2 < x < 5/2
• -3 < x < 3/2

Which of the following is the correct way to solve the absolute value inequality |3 - 4x| > 2?

• 3 - 4x > 2
• 3 - 4x < -2
• 3 - 4x > -2
• 3 - 4x < 2

What is the solution to the absolute value inequality |7x + 2| ≥ 8?

• x ≤ -10/7 or x ≥ 6/7
• x ≤ -6/7 or x ≥ 10/7
• x ≤ -10/7 and x ≥ 6/7
• x ≤ -6/7 and x ≥ 10/7