Answer:
see below
Explanation:
1. Notice that your inequalities have ≤ and >. So one of the lines on the graph must be dotted, eliminating the bottom two choices.
2. The lines on both of the top choices are graphed identically, so now it's all about shading. The best way to determine correct shading is by testing a point to see if it makes a true statement in BOTH inequalities.
a) Choose a point in the shaded region of the first option (I highly recommend (0,0)!!). Replace x and y in each inequality with the x and y from the point, and evaluate:
0 ≤ 2(0) + 1? ⇒ 0 ≤ 1 TRUE
0 > -2(0) - 3 ⇒ 0 > -3 TRUE
b) Since that point made both true statements, the first option is correct. If EITHER statement had been false, you would need to try a point in the shaded region of the second option. I recommend any where x=0 or y=0.