*

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


Linear Inequality

A direct Inequality is prefer a direct Equation (such as y = 2x+1) ...

You are watching: X 5 on a number line

... But it will have actually an Inequality favor , ≤, or ≥ instead of one =.


How to Graph a straight Inequality

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

See more: Four Major Sutures Of The Skull, Anatomy Of The Newborn Skull

There room three steps:

Rearrange the equation so "y" is ~ above the left and everything rather on the right.Plot the "y=" line (make that a heavy line for y≤ or y≥, and also a dashed line for y)Shade above 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" on the left and also everything rather on the right, so no must rearrange

2. Plot y=2x-1 (as a heavy line since y≤ contains equal to)

*

3. Shade the area below (because y is less than or equal to)

*

1. Us will should rearrange this one therefore "y" is ~ above its own on the left:


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

*

3. Shade the area over (because y is greater than)

*
2x - 4 " />


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

Two unique Cases

You could also have a horizontal or vertical line:

*
This shows where y is less than 4 (from, but not including, the heat y=4 top top down)Notice the we have a dashed heat to display that it does not encompass where y=4This one doesn"t also have y in it!It has the line x=1, and also is shaded for all values of x better than (or equal to) 1