Question

Graph the linear inequality:

$y<\frac{3}{5}x+2$

Short answer

The graph is -

Step-by-step solution

Step 1. Given information 

Linear inequality:$y<\frac{3}{5}x+2$

Step 2. Graph

We have,

$y<\frac{3}{5}x+2$

$y=\frac{3}{5}x+2$ boundary line

Now, at $\left(0,0\right)$-

$0<\frac{3}{5}·0+2$

$0<2$

So, $\left(0,0\right)$is a solution.

The graph of the linear inequality -

All points in the shaded region, but not on the boundary line, represent the solutions to $y<\frac{3}{5}x+2$.