Question 542094


{{{6(2a-6)>=4(4a+4)}}} Start with the given inequality.



{{{12a-36>=16a+16}}} Distribute.



{{{12a>=16a+16+36}}} Add {{{36}}} to both sides.



{{{12a-16a>=16+36}}} Subtract {{{16a}}} from both sides.



{{{-4a>=16+36}}} Combine like terms on the left side.



{{{-4a>=52}}} Combine like terms on the right side.



{{{a<=(52)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{a}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{a<=-13}}} Reduce.



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Answer:


So the solution is {{{a<=-13}}} 




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