Question 491090

{{{-3z-7>-4z+1}}} Start with the given inequality.



{{{-3z>-4z+1+7}}} Add {{{7}}} to both sides.



{{{-3z+4z>1+7}}} Add {{{4z}}} to both sides.



{{{z>1+7}}} Combine like terms on the left side.



{{{z>8}}} Combine like terms on the right side.



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Answer:


So the solution is {{{z>8}}} 



The solution in set-builder notation is  *[Tex \LARGE \left\{z\|z>8\right\}]