Answer: x 3.
- A 2 < x < 3
- B x < 2 or x > 3
- C x > 3
- D x < 2
Correct answer: B. x < 2 or x > 3
Explanation: (x − 2)(x − 3) > 0 holds outside the roots: x < 2 or 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.