document.write( "Question 150259: Determine solution set x+5/x-4>3x+2/2x+1 \n" ); document.write( "
Algebra.Com's Answer #110443 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
(x+5)/(x-4)>(3x+2)/(2x+1)
\n" ); document.write( "(x+5)(2x+1)=(3x+2)(x-4) turn it into an equality
\n" ); document.write( "2x^2+11x+5=3x^2-10x-8
\n" ); document.write( "x-21x-13=0 Subtract the left side from the right.
\n" ); document.write( "x=-.6018..., x=21.6018...
\n" ); document.write( "x cannot be 4 or -0.5 because there would be division by zero in the original equation. (vertical asymptotes)
\n" ); document.write( "You now have 4 points around which to test: -.6018, -.5, 4, and 21.6018
\n" ); document.write( "Try numbers larger and smaller than these numbers for x to see if the left side is larger than the right.
\n" ); document.write( "-1 no
\n" ); document.write( "-0.6 yes
\n" ); document.write( "0 no
\n" ); document.write( "5 yes
\n" ); document.write( "25 no
\n" ); document.write( ".
\n" ); document.write( "X(.6018,-.5)U(4,21.6018) answer
\n" ); document.write( ".
\n" ); document.write( "On the graph below the left side of the equation is the red line and the right, the green.
\n" ); document.write( ".
\n" ); document.write( "Ed
\n" ); document.write( ".
\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );