How to graph inequalities?????

Question

y>-5x-3

Answer 1

 

To graph the inequity y > 5x - 3, first graph the line y = 5x - 3.

Since y > 5x - 3 is the line is dashed and points on the line not included in the solutions set.

Shade the region above the line and the points fall in the shaded area are the solutions set.

Answer 2

Step1:

To graph the inequality y>-5x - 3, first graph the line y=-5x - 3

Since y>-5x - 3, The graph of y=-5x - 3 is dashed and is not included in the graph of y>2x+1.

Then shade region above the line.

 

Step2:

To know the which section to be shaded use a test point like (0, 0).

0 > -5 * 0 - 3 ----> 0 > -3

The statement is true.

So shade the region that contains the pont (0, 0).

Graph: