Question 193264
*[Tex \LARGE 5\left\[5m-(m+4)\right\]>-8(m-2)] ... Start with the given inequality.



{{{25m-5(m+4)>-8(m-2)}}} ... Distribute.



{{{25m-5m-20>-8m+16}}} Distribute again.



{{{20m-20>-8m+16}}} Combine like terms on the left side.



{{{20m>-8m+16+20}}} Add {{{20}}} to both sides.



{{{20m+8m>16+20}}} Add {{{8m}}} to both sides.



{{{28m>16+20}}} Combine like terms on the left side.



{{{28m>36}}} Combine like terms on the right side.



{{{m>(36)/(28)}}} Divide both sides by {{{28}}} to isolate {{{m}}}. 



{{{m>9/7}}} Reduce.



----------------------------------------------------------------------


Answer:


So the answer is {{{m>9/7}}} 


which in set-builder notation is *[Tex \LARGE \left\{m\|m>\frac{9}{7}\right\}]