SOLUTION: How do I Graph the relation x + |y| = 3. Do I need to solve it first before I can graph it? thanks for your help.

Question 400576: How do I Graph the relation x + |y| = 3. Do I need to solve it first before I can graph it? thanks for your help.
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Graph the relation x + |y| = 3.
---
Yes, you should solve for "y":
|y| = 3-x
---
y = 3-x when x<= 3
or y = x-3 when x>=3
------
Graph both on the same set of axes but restrict each piece of the
graph to the x-interval for which it is defined.
Note: I cannot show you that restricted shape {V} on this site.

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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Since the left side can never be negative, then the
right side can be zero, but never negative

Add to both sides

This makes sense, because if , then
can never be true
-------------------------------
Also,

This is the sum of
and

This is not really a function, because there is a (+) and (-) value
of for each , so its the sum of 2 functions
and

Include the restriction
I hope this helps, I don't have the tools to graph, but
you should be able to draw it.
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