Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.
y > -2x - 7
y ≥ x + 8

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Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y > -2x - 7 y ≥ x + 8

SnapAndSolve AI · Accepted Answer

To solve the system of inequalities graphically, follow these steps: Graph the line y = -2x - 7. Since the inequality is y > -2x - 7, shade the region above this line. Graph the line y = x + 8. Since the inequality is y ≥ x + 8, shade the region above and including this line. The solution set is the region where the shaded areas overlap. A point in the solution set is (0, 8), as it satisfies both inequalities: 8 > -2(0) - 7 and 8 ≥ 0 + 8.

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Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a...

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