Question 658363


{{{15-b<7b+7}}} Start with the given inequality.



{{{-b<7b+7-15}}} Subtract {{{15}}} from both sides.



{{{-b-7b<7-15}}} Subtract {{{7b}}} from both sides.



{{{-8b<7-15}}} Combine like terms on the left side.



{{{-8b<-8}}} Combine like terms on the right side.



{{{b>(-8)/(-8)}}} Divide both sides by {{{-8}}} to isolate {{{b}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{b>1}}} Reduce.



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Answer:


So the solution is {{{b>1}}}