Which point is a solution to the system of inequalities? y≤2⁢x+1 y>−x−2

Test (0, 0) in both inequalities. For y ≤ 2x + 1, we get 0 ≤ 2(0) + 1, or 0 ≤ 1, which is true. For y > −x − 2, we get 0 > −0 − 2, or 0 > −2, which is also true. So the point (0, 0), choice C, is a solution.

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