document.write( "Question 54841: (Interval Notation)\r
\n" ); document.write( "\n" ); document.write( "x+1/x-3 is less than or equal to 5\r
\n" ); document.write( "\n" ); document.write( "Please help! \n" ); document.write( "
Algebra.Com's Answer #37429 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
x+1/x-3 is less than or equal to 5
\n" ); document.write( "(x+1)/(x-3)<=5
\n" ); document.write( "Solve the equality, as follows:
\n" ); document.write( "x+1=5(x-3)
\n" ); document.write( "x+1=5x-15
\n" ); document.write( "4x=16
\n" ); document.write( "x=4
\n" ); document.write( "Now check a point to the right (or left) of x=4 to
\n" ); document.write( "see where the inequality is satisfied.
\n" ); document.write( "Try x=10
\n" ); document.write( "You get 9/7<5
\n" ); document.write( "That is true.
\n" ); document.write( "So part of the solution is
\n" ); document.write( "x>=4
\n" ); document.write( "The asymptote is x=3.
\n" ); document.write( "Try a value to the left of x=3.
\n" ); document.write( "Try x=0
\n" ); document.write( "You get (0+1)/(0-3)<5
\n" ); document.write( "That is true.
\n" ); document.write( "So the interval to the left of the asymptote is also part
\n" ); document.write( "of the solution.
\n" ); document.write( "Complete Solution is (-inf,3) or [4,inf)
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );