Question 202444


{{{-14>5(2m-3)-m}}} Start with the given inequality.



{{{-14>10m-15-m}}} Distribute.



{{{-14>9m-15}}} Combine like terms on the right side.



{{{0>9m-15+14}}} Add {{{14}}} to both sides.



{{{-9m>-15+14}}} Subtract {{{9m}}} from both sides.



{{{-9m>-1}}} Combine like terms on the right side.



{{{m<(-1)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{m}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{m<1/9}}} Reduce.



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Answer:


So the solution is {{{m<1/9}}} 



So the answer in set-builder notation is  *[Tex \LARGE \left\{m\|m<\frac{1}{9}\right\}]



This means that the answer is B)