Question

Graph the solution to the following linear inequality in the coordinate plane. 5 x - y > -3

Answer 1

Given:

The inequality is:

`5x-y>-3`

To find:

The graph for the given linear inequality in the coordinate plane.

Solution:

We have,

`5x-y>-3`

The related equation for this inequality is:

`5x-y=-3`

The table of values is:

x y

0 3

-1 -2

Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.

Check the given inequality for (0,0).

`5(0)-(0)>-3`

`0>-3`

This statement is true. So, the shaded area of the given inequality is towards the origin.

Therefore, the required graph is shown below.