Question 531952
Not sure how to read this without the use of parentheses!
Is it {{{(1/x)+1 > (2/x)-1}}}
or {{{1/(x+1) > 2/(x-1)}}}?
I'll assume the second one.
{{{1/(x+1) > 2/(x-1)}}} Simplify.
{{{1*(x-1)/(x+1)(x-1) > 2*(x+1)/(x+1)(x-1)}}} Multiply both sides by (x+1)(x-1) to clear the denominators.
{{{x+1 > 2(x-1)}}}
{{{x+1 > 2x-2}}} Subtract x from both sides.
{{{1 > x-2}}} Add 2 to both sides.
{{{3 > x}}} or
{{{x < 3}}}
Your answer of x = 3 cannot be correct as you are dealing with inequalities.