Question 529351


{{{-8(2a-4)>-64}}} Start with the given inequality.



{{{-16a+32>-64}}} Distribute.



{{{-16a>-64-32}}} Subtract {{{32}}} from both sides.



{{{-16a>-96}}} Combine like terms on the right side.



{{{a<(-96)/(-16)}}} Divide both sides by {{{-16}}} to isolate {{{a}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{a<6}}} Reduce.



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Answer:


So the solution is {{{a<6}}}



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