Inequalities with Absolute Value
Math ⇒ Algebra
Inequalities with Absolute Value starts at 8 and continues till grade 12.
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See sample questions for grade 8
|x + 3| > 7. What is the solution set?
If |2x - 4| < 10, what is the solution for x?
If |2x + 3| ≤ 9, what is the solution for x?
If |x - 2| < 4, what is the range of values for x?
If |x + 6| > 9, what is the solution for x?
Solve for x: |2x - 5| < 9.
Solve for x: |2x| ≤ 8.
Solve for x: |3x + 1| ≤ 7.
If |x| > 8, which of the following is true?
(1) x < -8 or x > 8
(2) x > 8
(3) x < 8
(4) -8 < x < 8
If |x| ≤ 10, which of the following is NOT a solution?
(1) x = 0
(2) x = 10
(3) x = -10
(4) x = 11
If |x| ≥ 4, which of the following is true?
(1) x > 4
(2) x < -4 or x > 4
(3) x < 4
(4) -4 < x < 4
Which of the following is NOT a solution to |x| ≤ 2?
(1) x = 2
(2) x = -2
(3) x = 3
(4) x = 0
Fill in the blank: The inequality |x| < a, where a > 0, is equivalent to ________.
Fill in the blank: The solution to |x - 1| ≤ 3 is ______ ≤ x ≤ ______.
Fill in the blank: The solution to |x - 2| > 3 is x < ______ or x > ______.
Fill in the blank: The solution to |x - 3| < 2 is ______ < x < ______.
True or False: The solution to |x - 2| ≥ 0 is all real numbers.
True or False: The solution to |x - 4| < 0 is the empty set.
True or False: The solution to |x - 7| < 0 is the empty set.
True or False: The solution to |x + 2| < 0 is the empty set.
