Answer: x >= -1.
- A x >= -1
- B x <= -1
- C x <= 1
- D x >= 1
Correct answer: A. x >= -1
Explanation: Multiplying both sides by 15 gives 5(x-2) >= 3(x-4), i.e. 5x - 10 >= 3x - 12, so 2x >= -2, giving 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.