Question 127312
{{{3/(x-2)<=5}}} Start with the given inequality



{{{cross(x-2)(3/cross(x-2))<=5(x-2)}}}Multiply both sides by {{{x-2}}}



{{{3<=5(x-2)}}} Simplify



{{{3<=5x-10}}} Distribute



{{{0<=5x-10-3}}}Subtract 3 from both sides



{{{-5x<=-10-3}}} Subtract 5x from both sides



{{{-5x<=-13}}} Combine like terms on the right side



{{{x>=(-13)/(-5)}}} Divide both sides by -5 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{x>=13/5}}} Reduce


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Answer:

So our answer is {{{x>=13/5}}}  (which is approximately {{{x>=2.6}}} in decimal form)