Question 100034

{{{t/3-t/2>3/4}}} Start with the given equation



{{{(12)(t/3-t/2)>(3/4)(12)}}} Multiply both sides by the LCM of 12. 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>)




{{{4t-6t>9}}} Distribute and multiply 12 by each term on both sides




{{{-2t>9}}} Combine like terms on the left side



{{{t<(9)/(-2)}}} Divide both sides by -2 to isolate t  (note: dividing by both sides by a negative number flips the inequality sign)




{{{t<-9 / 2}}} Reduce


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Answer:

So our answer is {{{t<-9 / 2}}}  (which is {{{t<-4.5}}} in decimal form)