SOLUTION: 13) Graph the inequality on a plane 5x+6y <= 30

Question 146903: 13) Graph the inequality on a plane
5x+6y <= 30
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality.

Replace the inequality sign with an equals sign.

Subtract from both sides.

Divide both sides by to isolate .

Rearrange the terms.

So in order to plot or (which is the same thing), we need to plot the equation first.
(note: if you need help with graphing, check out this solver)

Graph of

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

Start with the given inequality.

Plug in and

Evaluate and simplify.

Since the inequality is true, this means that we shade the entire region that contains the point (0,0)

In other words, we simply shade the entire region that is below the line.

Graph of with the shaded region in green

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