SAT Math · Linear inequalities in one or two variables · easy

Which statement is true about the graph of y ≥ -2x + 6?

Which statement is true about the graph of y≥−2x+6y \geq -2x + 6?

Answer and explanation

Answer: D: The boundary line is solid, and the point (0,0) is not a solution.

The inequality y≥−2x+6y \geq -2x + 6 includes equality, so the boundary line is solid. A dashed line is used only for strict inequalities. Test the origin: is 0≥−2(0)+6=60 \geq -2(0) + 6 = 6? No, since 0<60 < 6. So (0,0)(0, 0) is not a solution, and the shaded region is above the line, away from the origin. That makes D correct. Choices A and C claim a dashed line, which is wrong because of the "or equal to". Choice B has the right line style but wrongly states that (0,0)(0,0) is a solution.

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