Question 106727
{{{(1/5)x+1/2>4/5}}} Start with the given inequality




{{{(10)((1/5)x+1/2)>(10)(4/5)}}} Multiply both sides by the LCM of 10. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{2x+5>8}}} Distribute and multiply the LCM to each side




{{{2x>8-5}}}Subtract 5 from both sides



{{{2x>3}}} Combine like terms on the right side



{{{x>(3)/(2)}}} Divide both sides by 2 to isolate x 



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Answer:

So our answer is {{{x>(3)/(2)}}}