SOLUTION: graph the inequality y<3x+1.

Question 145489This question is from textbook
: graph the inequality y<3x+1. This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the 1st inequality

Replace the inequality sign with an equals sign

So in order to plot , we need to plot the equation first

Graph of

Now plug in a test point (0,0) into the 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). So this means that we shade everything below the line . Note: Since the inequality is a "less than" sign, this means that the line should be a dotted line.

Graph of with the shaded region in green

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