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Linear inequalities in one or two variables SAT question

Math · Algebra · Medium · Answer it here, explanation included.

Which point (, ) is a solution to the given inequality in the -plane?

ExplanationShow

Choice D is correct. For a point  to be a solution to the given inequality in the xy-plane, the value of the point’s y-coordinate must be less than the value of , where is the value of the x-coordinate of the point. This is true of the point  because , or . Therefore, the point  is a solution to the given inequality.


Choices A, B, and C are incorrect. None of these points are a solution to the given inequality because each point’s y-coordinate is greater than the value of  for the point’s x-coordinate.

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