Answer: x 1.
- A x < −2 or x > 1
- B strictly −2 < x < 1
- C only where x > 1
- D only where x < −2
Correct answer: A. x < −2 or x > 1
Explanation: The quotient is positive when both factors share a sign: x < −2 or x > 1.
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.