Question 514362


{{{q+12-2(q-22)>0}}} Start with the given inequality.



{{{q+12-2q+44>0}}} Distribute.



{{{-q+56>0}}} Combine like terms on the left side.



{{{-q>0-56}}} Subtract {{{56}}} from both sides.



{{{-q>-56}}} Combine like terms on the right side.



{{{q<(-56)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{q}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{q<56}}} Reduce.



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Answer:


So the solution is {{{q<56}}}