Question

How do I plot this linear inequalitie

Answer 1

Given the following inequality:

`y\ge x-4`

To plot the inequality, first we will plot the line y = x - 4

We will graph the line using the intercepts

When x = 0, y = -4

When y = 0, x = 4

So, the line passes through the points (4, 0) and (0, -4)

The graph of the line will be solid

Now, we will find the area that will be shaded to represent the answer.

Use the point (0, 0)

So, 0 ≥ 0 - 4

So, the point (0, 0) lying in the solution area.

the plot of the inequality will be as shown in the following figure:

When x = 0, y = -4

When y = 0, x = 4

So, the line passes through the points (ng the intercepts

When x = 0, y =