document.write( "Question 123847This question is from textbook
\n" ); document.write( ": How do I graph inequalities with two variable so that I will know what direction to shade solutions?
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Algebra.Com's Answer #90852 by MathLover1(20850) $\"\"$ $\"About$

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1. Find the boundary by graphing the $\"equation\"$ $\"+related+\"$ to the $\"inequality\"$ .
\n" ); document.write( "If the inequality symbol is < or >, draw the boundary as a $\"dashed\"$ $\"+line\"$ .
\n" ); document.write( "If the inequality symbol is <= or >= , draw the boundary as a $\"solid\"$ line to show that the points on the boundary are included in the solution set.\r
\n" ); document.write( "\n" ); document.write( "2. Determine which of the two half-planes contains the solutions by choosing a point in each half-plane and testing its coordinates in the inequality. If the coordinates make the inequality true, $\"shade\"$ that half-plane.\r
\n" ); document.write( "\n" ); document.write( "Example: graph $\"y+-+2x+%3C=+1\"$
\n" ); document.write( "- solve the equality for $\"y\"$ :
\n" ); document.write( " $\"y+-+2x+%3C=+1\"$
\n" ); document.write( " $\"y+%3C=+2x+%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( "then, graph the $\"related+\"$ $\"equation\"$ $\"y+=+2x+%2B1\"$
\n" ); document.write( "- draw the line as a $\"solid\"$ $\"+line\"$ since the inequality symbol is $\"less\"$ $\"+than\"$ or $\"equal\"$ $\"+to\"$
\n" ); document.write( "- select a point in each of the half-planes and test it in the inequality
\n" ); document.write( "- test (0, 0) ЕЕЕЕЕ. $\"y+-+2x+%3C=+1\"$ Е=>Е $\"0+%96+2%2A0+%3C=+1\"$ Е=>Е $\"0+%3C=+1\"$ Е True\r
\n" ); document.write( "\n" ); document.write( "- test (-1, 1) ЕЕЕЕЕ. $\"y+-+2x+%3C=+1\"$ Е=>Е $\"1+%96+2%2A%28-1%29+%3C=+1\"$ Е=>Е $\"3+%3C=+1\"$ Е False\r
\n" ); document.write( "\n" ); document.write( "the half-plane that contains the point ( $\"0\"$ , $\"0\"$ ) should be shaded
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