Which ordered pairs are in the solution set of the system of linear inequalities? y is greater than or equal to negative 1 half x y is less than 1 half x plus 1

Test each ordered pair in choice A against both inequalities. For (5, −2), the y-value −2 is at least −2.5 and less than 3.5. For (3, 1), 1 is at least −1.5 and less than 2.5; for (4, 2), 2 is at least −2 and less than 3. All three pairs satisfy both inequalities, so the correct choice is A: (5, −2), (3, 1), and (4, 2).

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