Question 183686


{{{33-12x<4x+97}}} Start with the given inequality.



{{{-12x<4x+97-33}}} Subtract {{{33}}} from both sides.



{{{-12x-4x<97-33}}} Subtract {{{4x}}} from both sides.



{{{-16x<97-33}}} Combine like terms on the left side.



{{{-16x<64}}} Combine like terms on the right side.



{{{x>(64)/(-16)}}} Divide both sides by {{{-16}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-4}}} Reduce.



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Answer:


So the answer is {{{x>-4}}}