Question

On a coordinate plane, 2 lines are shown. The first dashed straight line has a positive slope and goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded. The second solid straight line has a positive slope and goes through (0, negative 1) and (1, 1). Everything to the left of the line is shaded.
Which equation represents an inequality in the system of inequalities shown in the graph?





Which point is a solution to the system?

Answer 1

The two boundary lines are y = 2x + 2 (dashed) and y = 2x − 1 (solid). The dashed one is strict, and the shaded region is between the lines, so the system is

y < 2x + 2
y ≥ 2x − 1

One solution is (0, 0), since 0 < 2 and 0 ≥ −1.