Question

Graph the following system of equations. Click on the graph until the correct graph appears.

y < -x
y ≤ x - 2
please quick 20POINTS

Answer 1

It's this one, just did the test.

Answer 2

See explanation

Explanation:

1. Draw the dotted line y=-x. This line must be dotted, because the inequality y<-x is with sign < (without notion "or equal to"). Then shade the region that contains all values of y that are less than -x (bottom part that is shaded in red on the attached diagram).

2. Draw the solid line y=x-2. This line must be solid, because the inequality y≤x-2 is with sign ≤ (with notion "or equal to"). Then shade the region that contains all values of y that are less or equal to x-2 (bottom part that is shaded in blue on the attached diagram).

3. Their common part (region that is shaded in both red and blue colors) represents both inequalities.