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Answer:
How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
1. Rearrange the equation so "y" is on the left and everything else on the right.
2. Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
3. Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Step-by-step explanation:
Example: y≤2x-1
1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange
2. Plot y=2x-1 (as a solid line because y≤ includes equal to)
y = 2x -1
3. Shade the area below (because y is less than or equal to)
linear inequality y <= 2x -1 shaded