Question 416520


{{{30n+6<6(4n+7)}}} Start with the given inequality.



{{{30n+6<24n+42}}} Distribute.



{{{30n<24n+42-6}}} Subtract {{{6}}} from both sides.



{{{30n-24n<42-6}}} Subtract {{{24n}}} from both sides.



{{{6n<42-6}}} Combine like terms on the left side.



{{{6n<36}}} Combine like terms on the right side.



{{{n<(36)/(6)}}} Divide both sides by {{{6}}} to isolate {{{n}}}. 



{{{n<6}}} Reduce.



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Answer:


So the answer is {{{n<6}}} 


This means that the answer is set builder notation is {n | n < 6 }




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