Question 568193


{{{6a+10>7a-1}}} Start with the given inequality.



{{{6a>7a-1-10}}} Subtract {{{10}}} from both sides.



{{{6a-7a>-1-10}}} Subtract {{{7a}}} from both sides.



{{{-a>-1-10}}} Combine like terms on the left side.



{{{-a>-11}}} Combine like terms on the right side.



{{{a<(-11)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{a}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{a<11}}} Reduce.



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Answer:


So the solution is {{{a<11}}} 



Also, the answer in set-builder notation is  *[Tex \LARGE \left\{a\|a<11\right\}]

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