Answer: x ≤ −3 or x ≥ 7.
- A −3 ≤ x ≤ 7
- B x ≤ −3 or x ≥ 7
- C x ≥ 7
- D −7 ≤ x ≤ 3
Correct answer: B. x ≤ −3 or x ≥ 7
Explanation: x − 2 ≤ −5 or x − 2 ≥ 5 gives x ≤ −3 or x ≥ 7.
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.