SOLUTION: I was wondering if someone could explain how to shade linear equalities when you graph them. I know how to graph, I'm just confused on where to shade. 3y + x

SOLUTION: I was wondering if someone could explain how to shade linear equalities when you graph them. I know how to graph, I'm just confused on where to shade. 3y + x > 4

Question 150538: I was wondering if someone could explain how to shade linear equalities when you graph them. I know how to graph, I'm just confused on where to shade.
3y + x > 4
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 .

Break up the fraction.

Rearrange the terms.

So in order to plot or (which is the same thing), we need to plot the equation first.

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 false, this means that we shade the entire region that does NOT contain the point (0,0)

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

Graph of (which is also )with the shaded region in green

Note: Since the inequality has a greater than sign ">", this means that the red boundary line should be dotted since we are not including this line with the solution set.

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