Question 702212


{{{2(k+4)-3k<=14}}} Start with the given inequality.



{{{2k+8-3k<=14}}} Distribute.



{{{-k+8<=14}}} Combine like terms on the left side.



{{{-k<=14-8}}} Subtract {{{8}}} from both sides.



{{{-k<=6}}} Combine like terms on the right side.



{{{k>=(6)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{k}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{k>=-6}}} Reduce.



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Answer:


So the solution is {{{k>=-6}}}