How Do You Plot the Inequalities Y < X and Y > -X on a Graph?

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To graph the inequalities Y < X and Y > -X, start by sketching the lines Y = X and Y = -X. Identify the regions that satisfy each inequality; for Y < X, shade the area below the line, and for Y > -X, shade above the line. Instead of plotting individual points, choose values for X to determine corresponding Y values for the lines. The solution involves shading the overlapping region that meets both criteria. This method effectively visualizes the solution set for the inequalities.
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Homework Statement


Y<x
Y>-x


Homework Equations



None

The Attempt at a Solution



I don't know
 
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What do you think the two inequalities infer, what points on the x-y graph meet the critera? Hint: Begin by sketching Y < x, and Y > -x as two functions.
 
Im aware. But I mean plotting the points on the graph. Would I just start from (0,0) and just follow their slopes? (1/1) ;(-1/1)?
 
Plotting which points exactly? You can plot the two functions by picking values for x and deteremining y. If you're talking about plotting the points such that Y < x, and Y > -x, then you need to shade the region that meets the criteria. You wouldn't graph each point separately, as there are infinitely many.
 

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