Question 356093


{{{-3(5a-2)+11a<30}}} Start with the given inequality.



{{{-15a+6+11a<30}}} Distribute.



{{{-4a+6<30}}} Combine like terms on the left side.



{{{-4a<30-6}}} Subtract {{{6}}} from both sides.



{{{-4a<24}}} Combine like terms on the right side.



{{{a>(24)/(-4)}}} Divide both sides by {{{-4}}} 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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