document.write( "Question 240211: Help me solve this polynomial inequality $\"2x%5E%3E5x%2B3\"$ \n" ); document.write( "

Algebra.Com's Answer #176089 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2x%5E2+%3E+5x%2B3\"$
\n" ); document.write( ":
\n" ); document.write( " $\"2x%5E2-5x-3%3E0\"$
\n" ); document.write( "Factor this and we have
\n" ); document.write( "(x-3)(2x+1) = 0
\n" ); document.write( "but the inequality will be
\n" ); document.write( "x > 3
\n" ); document.write( "and
\n" ); document.write( "2x < 1
\n" ); document.write( "x < $\"1%2F2\"$
\n" ); document.write( ":
\n" ); document.write( "More apparent if you graph it
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2-5x-3%29+\"$
\n" ); document.write( "note that it is greater than 0 below -.5 and above +3
\n" ); document.write( ":
\n" ); document.write( "You can see if you substitute x=+1, or x=+2, the inequality will not be true
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