Answer: −2 ≤ x ≤ 3.
- A −2 ≤ x ≤ 3
- B only x ≤ 3
- C only x ≥ −2
- D x ≤ −2
Correct answer: A. −2 ≤ x ≤ 3
Explanation: −5 ≤ 2x − 1 ≤ 5 gives −4 ≤ 2x ≤ 6, so −2 ≤ x ≤ 3.
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.