Question

Check all of the points that are solutions to the system of inequalities,

Answer 1

Answer:

  A(0, 2), C(-1, 2), E(-4, -1)

Step-by-step 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.