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) ...
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... 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.
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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" (yLet 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)
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:
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| 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=4 | This 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 |