Answer: (2, 3).
- A (2, 3)
- B (−3, −2)
- C (3, ∞)
- D (−∞, 2)
Correct answer: A. (2, 3)
Explanation: (x − 2)(x − 3) < 0 holds between the roots, i.e. 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.