Answer: x 3/2.
- A x < 1 or x > 3/2
- B 1 < x < 3/2
- C x > 3/2
- D x < 1
Correct answer: A. x < 1 or x > 3/2
Explanation: For x > 1 the inequality gives x > 3/2; for x < 1 the left side is negative and always less than 2. Solution: x < 1 or x > 3/2.
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.