Which of the following ordered pairs ( x , y ) satisfies the system of inequalities above?

Question

Accepted Answer

Choice D is correct. Any point ( x , y ) that is a solution to the given system of inequalities must satisfy both inequalities in the system. The second inequality in the system can be rewritten as . Of the given answer choices, only choice D satisfies this inequality, because inequality is a true statement. The point also satisfies the first inequality. Alternate approach: Substituting into the first inequality gives , or , which is a true statement. Substituting into the second inequality gives , or , which is a true statement. Therefore, since satisfies both inequalities, it is a solution to the system. Choice A is incorrect because substituting &minus;2 for x and &minus;1 for y in the first inequality gives , or , which is false. Choice B is incorrect because substituting &minus;1 for x and 3 for y in the first inequality gives , or , which is false. Choice C is incorrect because substituting 1 for x and 5 for y in the first inequality gives , or , which is false.

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