Question the-bo

5.1 Linear Inequalities in One or Two Variables - Graphing two-variable inequalities
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  • The boundary of the inequality is a solid line.
    • The line slants sharply up from left to right.
    • The line passes through the following points:
      • (0 comma negative 4)
      • (1 comma 0)
      • (2 comma 4)
  • The area below and to the right of the boundary is shaded.

The shaded region shown represents the solutions to an inequality. Which ordered pair x,y is a solution to this inequality?

A.

-5,-6

B.

-2,5

C.

1,4

D.

6,-2

The boundary of the inequality is a solid line. The line slants sharply up from left

Hard-difficulty · SAT Math · Linear Inequalities in One or Two Variables — Graphing two-variable inequalities. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. Since the shaded region shown represents the solutions to an inequality, an ordered pair x,y is a solution to the inequality if it's represented by a point in the shaded region. Of the given choices, only 6,-2 is represented by a point in the shaded region. Therefore, the ordered pair 6,-2 is a solution to this inequality.

Choice A is incorrect and may result from conceptual errors.

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.