Question 118235
{{{(2/5)a-4<2}}} Start with the given inequality




{{{(5)((2/5)a-4)<(5)(2)}}} Multiply both sides by the LCM of 5. 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>)




{{{2a-20<10}}} Distribute and multiply the LCM to each side




{{{2a<10+20}}}Add 20 to both sides



{{{2a<30}}} Combine like terms on the right side



{{{a<(30)/(2)}}} Divide both sides by 2 to isolate a 




{{{a<15}}} Divide


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Answer:

So our answer is {{{a<15}}}