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Absolute value equations and inequalities

Questions at easy, medium and hard levels. Pick a level and get a fresh set every time, with instant feedback.

Useful for: IB Math AA HL AP® Precalculus

Learn it |A| = c (c > 0) means A = c or A = −c. |A| < c means −c < A < c (a single interval). |A| > c means A < −c or A > c (two pieces).

Example: Solve |2x − 3| = 7.

  1. 2x − 3 = 7 → x = 5.
  2. 2x − 3 = −7 → x = −2.
  3. x = 5 or x = −2.

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