Question 30632
{{{ 3/(x-4)<=2/(x-2) }}} Treat this as an equality while solving
{{{ 3/(x-4)=2/(x-2) }}} since you have equivalent fractions, cross multiply
{{{ 3(x-2)=2(x-4) }}} distribute
{{{ 3x-6=2x-8 }}} subtract 2x from both sides
{{{ 1x-6=-8 }}} add 6 to both sides
{{{ x = -2 }}} since we did not multiply or divide by a negative number, put the < back in as is
{{{ x <= -2 }}}
You got the same answer.  This is just one other way to solve the same problem.