You deserve to see the y = x + 2 line, and the shaded area is whereby y is less than or equal to x + 2

Linear Inequality

A straight Inequality is like a linear Equation (such as y = 2x+1) ...

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... Yet it will have an Inequality choose , ≤, or ≥ rather of one =.

How to Graph a linear Inequality

First, graph the "equals" line, then shade in the correct area.

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There are three steps:

Rearrange the equation therefore "y" is top top the left and everything else on the right.Plot the "y=" line (make it a heavy line for y≤ or y≥, and a dashed line for y)Shade over the line for a "greater than" (y> or y≥) or below the line because that a "less than" (y

Let us shot some examples:

Example: y≤2x-1

1. The inequality currently has "y" top top the left and everything rather on the right, therefore no have to rearrange

2. Plot y=2x-1 (as a heavy line because y≤ consists of equal to)


3. The shade the area below (because y is less than or same to)


1. We will have to rearrange this one therefore "y" is ~ above its very own on the left:

2. Currently plot y = 2x − 4 (as a dashed line because y> go not include equals to)


3. The shade the area above (because y is greater than)

2x - 4 " />

The dashed line reflects that the inequality does not include the heat y=2x-4.

Two one-of-a-kind Cases

You could additionally have a horizontal or upright line:

This mirrors where y is much less than 4 (from, yet not including, the line y=4 ~ above down)Notice that we have a dashed line to present that the does not include where y=4This one doesn"t even have y in it!It has actually the heat x=1, and also is shaded for all worths of x higher than (or equal to) 1