document.write( "Question 869916: Solve the inequality.\r
\n" ); document.write( "\n" ); document.write( "2x^2 + 5x + 2≤ 0 \n" ); document.write( "

Algebra.Com's Answer #524596 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x%2B2%29%282x%2B1%29%3C=0\"$
\n" ); document.write( "Break up the number line into 3 regions.
\n" ); document.write( " $\"x%3C-2\"$
\n" ); document.write( " $\"-2%3Cx%3C-1%2F2\"$
\n" ); document.write( " $\"x%3E-1%2F2\"$
\n" ); document.write( "Test the inequality in each region with a point.
\n" ); document.write( " $\"x%3C-2\"$ , $\"x=-3\"$ , $\"%28-3%2B2%29%282%28-3%29%2B1%29%3C=0\"$ , $\"%28-1%29%28-5%29%3C=0\"$ , $\"5%3C=0\"$ False
\n" ); document.write( " $\"-2%3Cx%3C-1%2F2\"$ , $\"x=-1\"$ , $\"%28-1%2B2%29%282%28-1%29%2B1%29%3C=0\"$ , $\"%281%29%28-1%29%3C=0\"$ , $\"-1%3C=0\"$ True
\n" ); document.write( " $\"x%3E-1%2F2\"$ , $\"x=0\"$ , $\"%280%2B2%29%282%280%29%2B1%29%3C=0\"$ , $\"2%3C=0\"$ , False
\n" ); document.write( "So the only region where the inequality is true is,
\n" ); document.write( " $\"highlight%28-2%3C=x%3C=-1%2F2%29\"$ \n" ); document.write( "

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