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.