solve the following system of inequalities by graphing y=-3x+2 and y>3

Question

how can you solve the following system of inequalities by graphing?

y=-3x+2

y > 3

Answer 1

Given inequlities are y = -3x+2 and y > 3

Graph the lines y = -3x+2 and y = 3

The graph of y = -3x+2 is dashed with fuchsia colour.

The graph of y = 3 is dotted is not included in the graph of solution.

The graph of y > 3 is shaded wirh aqua colour.

The solution of the system is the set of ordered pairs in the intersection of the graph of y = -3x+2

and y > 3.

This region is shaded in aqua colour.