Answer: x >= -4.
- A x >= -4
- B x <= -4
- C x >= 4
- D x <= 4
Correct answer: A. x >= -4
Explanation: 2x - 6 <= 3x - 2, so -6 + 2 <= 3x - 2x, giving -4 <= x, i.e. x >= -4.
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.