Answer:
A(0, 2), C(-1, 2), E(-4, -1)
Explanation:
It can be useful to graph the equations and plot the points. Only the points in the doubly-shaded area are solutions to the system of inequalities.
You can try the offered points and see which work.
y > 2x +1
A. 2 > 2·0 +1 . . . true
B. 3 > 2·1 +1 . . . . False
C. 2 > 2(-1) +1 . . . true
D. 1 > 2·1 +1 . . . . False
E. -1 > 2(-4) +1 . . . true
F. 0 > 2·0 +1 . . . . False
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y < -2x +3
A. 2 < -2·0 +3 . . . true
C. 2 < -2(-1) +3 . . . true
E. -1 < -2(-4) +3 . . . true
Points A, C, E are in the solution set.