document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #283580 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x+%2B+abs%28y%29+=+3\"$
\n" ); document.write( " $\"abs%28y%29+=+3+-+x\"$
\n" ); document.write( "Since the left side can never be negative, then the
\n" ); document.write( "right side can be zero, but never negative
\n" ); document.write( " $\"0+%3C=+3+-+x\"$
\n" ); document.write( "Add $\"x\"$ to both sides
\n" ); document.write( " $\"x+%3C=+3\"$
\n" ); document.write( "This makes sense, because if $\"+x%3E3+\"$ , then
\n" ); document.write( " $\"x+%2B+abs%28y%29+=+3\"$ can never be true
\n" ); document.write( "-------------------------------
\n" ); document.write( "Also,
\n" ); document.write( " $\"x+=+3+-+abs%28y%29\"$
\n" ); document.write( "This is the sum of
\n" ); document.write( " $\"x+=+3\"$ and
\n" ); document.write( " $\"x+=+abs%28y%29\"$
\n" ); document.write( "This is not really a function, because there is a (+) and (-) value
\n" ); document.write( "of $\"y\"$ for each $\"x\"$ , so its the sum of 2 functions
\n" ); document.write( " $\"x+=+abs%28y%29\"$ and
\n" ); document.write( " $\"x+=+abs%28-y%29\"$
\n" ); document.write( "Include the restriction $\"x+%3C=+3\"$
\n" ); document.write( "I hope this helps, I don't have the tools to graph, but
\n" ); document.write( "you should be able to draw it. \n" ); document.write( "

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