SOLUTION: how do i graph the inequality y-x<6?
Algebra.Com
Question 248600: how do i graph the inequality y-x<6?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Step 1: Graph the line 
but graph it with a dashed line instead of a solid line because the inequality is 
instead of 
.
Step 2: Select any point that is NOT on the line. Since the line you just graphed does NOT pass through the origin, (0, 0) is an outstanding choice.
Step 3: Substitute the coordinates of the point you selected in Step 2 into the original inequality.
If the result is a true statement, shade in the half-plane containing the point you selected, using the graphed line as a boundary.
If the result is a false statement, shade in the half-plane that does NOT contain the point you selected.
The shaded area, NOT including the dashed boundary line, is your solution set.
John
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