blackkdragonn
blackkdragonn blackkdragonn
  • 21-06-2017
  • Mathematics
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Which region represents the solution to the given system of inequalities?

Which region represents the solution to the given system of inequalities class=

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BlueSky06
BlueSky06 BlueSky06
  • 05-07-2017
We are given the system of inequalities:
0.5x + y ≥ 3 
1.5x + y ≤ -1

We are also given a coordinate system with two lines plotted.
We are asked which region is the solution to the system of inequalities.
First, we solve the inequalities
0.5x + y ≥ 3 
y ≥ -0.5 x + 3

1.5x + -0.5 x + 3 ≤ -1
x ≤ -4

y ≥ -0.5 (-4) + 3
y ≥ 5

The region is Region A
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