SOLUTION: graph the inequality 2x+5y>5

Question 156326: graph the inequality
2x+5y>5

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality.

Subtract from both sides.

Divide both sides by to isolate .

Subtract from both sides.

Rearrange the terms.

Break up the fraction.

Reduce

So in order to graph , we need to graph . But first, we must graph the equation

Now plug in the test point (0,0) into

Since the inequality is false, this means that we shade the entire region that does NOT contain (0,0). So this means that we shade everything above the line

Graph of where the boundary (which should be a dotted line) is the equation and the shaded region is in green.
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