Question

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

Which system of linear inequalities is represented by the graph?

y > x – 2 and x – 2y < 4
y > x + 2 and x + 2y < 4
y > x – 2 and x + 2y < 4
y > x – 2 and x + 2y < –4
n

Answer 1

The system of linear inequalities represented by the graph is:

y > x – 2 and x + 2y < 4

This is because the first solid line with a positive slope represents the inequality y > x – 2, which shades everything to the left of the line. The second dashed line with a negative slope represents the inequality x + 2y < 4, which shades everything below and to the left of the line.