You deserve to see the y = x + 2 line, and the shaded area is where y is less than or same to x + 2
A straight Inequality is like a straight Equation (such as y = 2x+1) ...
You are watching: Which linear inequality is represented by the graph? y > 2x + 2 y ≥ x + 1 y > 2x + 1 y ≥ x + 2
... However it will have actually an Inequality choose , ≤, or ≥ rather of an =.
How to Graph a straight Inequality
First, graph the "equals" line, then the shade in the exactly area.
See more: Kyou Kara Ore Wa Loli No Himo!
There space three steps:Rearrange the equation so "y" is ~ above the left and everything rather on the right.Plot the "y=" heat (make that a hard line for y≤ or y≥, and also a dashed line because that y)Shade over the line because that a "greater than" (y> or y≥) or below the line because that a "less than" (y
Let us try some examples:
1. The inequality already has "y" top top the left and also everything rather on the right, therefore no have to rearrange
2. Plot y=2x-1 (as a heavy line due to the fact that y≤ includes equal to)
3. The shade the area listed below (because y is less than or equal to)
1. Us will need to rearrange this one for this reason "y" is on its own on the left:
2. Currently plot y = 2x − 4 (as a dashed line because y> walk not include equals to)
3. The shade the area above (because y is greater than)
The dashed line shows that the inequality walk not include the heat y=2x-4.
Two one-of-a-kind Cases
You could likewise have a horizontal or vertical line:
|This reflects where y is much less than 4 (from, however not including, the line y=4 on down)Notice that we have actually a dashed line to display that it does not encompass where y=4||This one doesn"t even have y in it!It has the heat x=1, and is shaded because that all worths of x better than (or equal to) 1|