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

SnapAndSolve AI · Accepted Answer

To solve the system of inequalities graphically, plot the lines y = x + 7 and y = -2x - 8 on the graph.

y ≤ x + 7: This is a line with a slope of 1 and a y-intercept of 7. Shade the region below and including this line.
y < -2x - 8: This is a line with a slope of -2 and a y-intercept of -8. Shade the region below this line.

The solution set is the region where the shaded areas overlap. A point in the solution set is (-10, -10).

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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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