Question 113558


{{{(2/5)k-4/15>-2/3}}} Start with the given inequality




{{{(15)((2/5)k-4/15)>(15)(-2/3)}}} Multiply both sides by the LCM of 15. 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>)




{{{6k-4>-10}}} Distribute and multiply the LCM to each side




{{{6k>-10+4}}}Add 4 to both sides



{{{6k>-6}}} Combine like terms on the right side



{{{k>(-6)/(6)}}} Divide both sides by 6 to isolate k 




{{{k>-1}}} Divide


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Answer:

So our answer is {{{k>-1}}}