document.write( "Question 908572: How many integers satisfy this inequality: 2 \cdot x^{2}+5 \cdot x-12<0 \n" ); document.write( "

Algebra.Com's Answer #551126 by Fombitz(32388) $\"\"$ $\"About$

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Looks like the function is negative between $\"x=-4\"$ and $\"x=2\"$ .
\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2%2B5x-12%29\"$
\n" ); document.write( "Check to see if $\"x=-4\"$ satisfies the inequality.
\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C3%2C-4%2C4%2C2x%5E2%2B5x-12%29\"$
\n" ); document.write( " $\"2x%5E2%2B5x-12%3C0\"$
\n" ); document.write( " $\"2%28-4%29%5E2%2B5%28-4%29-12%3C0\"$
\n" ); document.write( " $\"2%2816%29-20-12%3C0\"$
\n" ); document.write( " $\"32-32%3C0\"$
\n" ); document.write( " $\"0%3C0\"$
\n" ); document.write( "No, so $\"x=-4\"$ is not in the solution set.
\n" ); document.write( " $\"x=-3\"$
\n" ); document.write( " $\"x=-2\"$
\n" ); document.write( " $\"x=-1\"$
\n" ); document.write( " $\"x=0\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "5 integers in total \n" ); document.write( "

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