SOLUTION: How to shade the solution set to the system of a inequalities. x+2y>-2 3x+y<3

Question 669690: How to shade the solution set to the system of a inequalities.

x+2y>-2
3x+y<3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First solve for y in each equation and get into slope intercept form

x+2y>-2

2y > -x-2

y > -(1/2)x-2/2

y > -(1/2)x-1

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3x+y < 3

y < - 3x + 3

======================================

So after solving for y, we get

y > -(1/2)x-1
y < - 3x + 3

Now graph the inequalities separately

To graph the inequality y > -(1/2)x-1, first graph the line y = -(1/2)x-1.

Make this line a dashed line.

Then shade above the dashed line.

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To graph the inequality y < - 3x + 3, first graph the line y = - 3x + 3.

Make this line a dashed line.

Then shade below the dashed line.

The final solution region will be the overlapping portion of the two individual shaded regions
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