Question 624510


{{{x-9>=-7(x+2)}}} Start with the given inequality.



{{{x-9>=-7x-14}}} Distribute.



{{{x>=-7x-14+9}}} Add {{{9}}} to both sides.



{{{x+7x>=-14+9}}} Add {{{7x}}} to both sides.



{{{8x>=-14+9}}} Combine like terms on the left side.



{{{8x>=-5}}} Combine like terms on the right side.



{{{x>=(-5)/(8)}}} Divide both sides by {{{8}}} to isolate {{{x}}}. 



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Answer:


So the solution is {{{x>=-5/8}}}