Question

The graph for the system of inequalities without the shading of its solution set is shown on the coordinate grid.

Answer 1

• C. Area 3

Explanation:

The first line

• Line x - y > 5 ⇒ y < x - 5

This line has positive slope and the y-intercept is -5, shaded area is below the line, covers the areas:

• Area 3 and Area 4

The second line

• Line x + 2y < -6 ⇒ 2y < - x - 6 ⇒ y < -1/2x - 3

This line has negative slope and the y-intercept is -3, shaded are is below the line, covers the areas:

• Area 2 and Area 3

Solution of the system is the intersection of the areas:

• Area 3