SAT Math · Linear inequalities in one or two variables · easy
Which statement is true about the graph of y ≤ 3x - 2?
Which statement is true about the graph of ?
Answer and explanation
Answer: C: The boundary line is solid, and the point (0,0) is not a solution.
The symbol includes equality, so points on the line satisfy the inequality and the boundary is drawn solid. A dashed boundary is used only for strict inequalities such as or . Now test : is ? No, since is greater than . So is not a solution, and the graph shades the side below the line, which does not contain the origin. That makes C correct. Choices A and D claim a dashed line, which is wrong. Choice B has a solid line but wrongly says works.
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