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 10
If |2x + 3| > 7, what is the solution set for x?
If |x - 1| < 0, what is the solution set for x?
If |x - 2| < 5, what is the solution set for x?
If |x - 6| ≤ 0, what is the solution set for x?
If |x + 1| > 7, what is the solution set for x?
If |x + 4| ≥ 9, what is the solution set for x?
If |x| ≤ 0, what is the solution set for x?
A number x satisfies the inequality |x - 2| + |x + 2| < 6. Find the range of possible values for x.
Which of the following is NOT a solution to |x + 3| ≥ 2?
(1) x = -1
(2) x = -5
(3) x = -2
(4) x = 0
Which of the following is NOT a solution to |x| > 2?
(1) x = 3
(2) x = -3
(3) x = 2
(4) x = -5
Which of the following is the correct solution to |x - 2| ≥ 3?
(1) x ≥ 5 or x ≤ -1
(2) x ≥ 3 or x ≤ -1
(3) x ≥ 5 or x ≤ -1
(4) x ≥ 5 or x ≤ 1
Which of the following is the correct solution to |x + 2| ≥ 3?
(1) x ≥ 1 or x ≤ -5
(2) x ≥ 5 or x ≤ -1
(3) x ≥ 3 or x ≤ -3
(4) x ≥ 1 or x ≤ -5
Fill in the blank: The solution to |x - 2| = 7 is x = ________ or x = ________.
Fill in the blank: The solution to |x - 5| = 0 is x = ________.
Fill in the blank: The solution to |x + 2| = 5 is x = ________ or x = ________.
Fill in the blank: The solution to |x + 3| < 2 is ________ < x < ________.
True or False: The inequality |x| < -1 has no solution.
True or False: The solution to |2x - 3| = 0 is x = 1.5.
True or False: The solution to |x - 4| > 0 is all real numbers except x = 4.
True or False: The solution to |x + 1| ≤ -2 is the empty set.
