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 #90848 by solver91311(24713) $\"\"$ $\"About$

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Once you have graphed the line and decided whether it should be a solid line or a dashed line, pick a point on either side of the line. It doesn't matter where you pick the point, so choose something easy, like the origin (0,0). Substitute the coordinates of the chosen point back into the original inequality. If the result is a true statement, then you have chosen a point on the 'correct' side of the line -- shade in that side. If the result is a false statement, shade in the other side.\r
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\n" ); document.write( "\n" ); document.write( "Example:\r
\n" ); document.write( "\n" ); document.write( " $\"y%3E2x-3\"$ . Substitute (0,0): $\"0%3E-3\"$ is a true statement, so the half-plane containing (0,0) is the solution set.\r
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\n" ); document.write( "\n" ); document.write( " $\"y%3Cx%2F2-4\"$ . Substitute (0,0): $\"0%3C-4\"$ is a false statement, so the half-plane containing the origin is the 'wrong' side -- shade in the other side. \n" ); document.write( "

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