Question 317381
{{{9(x-8)>=-9x-7}}} Start with the given inequality.



{{{9x-72>=-9x-7}}} Distribute.



{{{9x>=-9x-7+72}}} Add {{{72}}} to both sides.



{{{9x+9x>=-7+72}}} Add {{{9x}}} to both sides.



{{{18x>=-7+72}}} Combine like terms on the left side.



{{{18x>=65}}} Combine like terms on the right side.



{{{x>=(65)/(18)}}} Divide both sides by {{{18}}} to isolate {{{x}}}. 



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Answer:


So the solution is {{{x>=65/18}}}



The answer in set-builder notation is *[Tex \LARGE \left\{x\|x\ge\frac{65}{18}\right\}]