document.write( "Question 292778: Show me how to graph this inequality equation x+y<3 \n" ); document.write( "

Algebra.Com's Answer #211406 by stanbon(75887) $\"\"$ $\"About$

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Show me how to graph this inequality equation x+y<3
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\n" ); document.write( "You don't graph inequalities directly.
\n" ); document.write( "You graph the boundary, which is always an equality.
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\n" ); document.write( "Rearrange:
\n" ); document.write( "y < -x + 3
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\n" ); document.write( "Graph the boundary line y = -x+3 as a dashed line.
\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B3%29\"$
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\n" ); document.write( "Select at test point, such as (0,0) and test it
\n" ); document.write( "in the inequality:
\n" ); document.write( "0 < 0+3
\n" ); document.write( "That is correct and means (0,0) is in the solution set
\n" ); document.write( "of the inequality.
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\n" ); document.write( "Shade the area below the boundary line which does include (0,0)
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\n" ); document.write( "That shaded area is the graph of your inequality.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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