Answer: x > 2 or x < −2.
- A x > 2 or x < −2
- B strictly −2 < x < 2
- C only where x > 2
- D only where x < 2
Correct answer: A. x > 2 or x < −2
Explanation: |x| > 2 means x is more than 2 from zero, so x > 2 or x < −2.
One-variable inequalities use open (excluded) or closed (included) circles on a number line; two-variable inequalities use a dashed (strict) or solid (non-strict) boundary line, with the solution being the entire shaded half-plane on one side of it.
Concept context
Solving linear inequalities in one and two variables algebraically and graphically, and representing solutions on a number line or as a region in a plane.