SOLUTION: 2(k+4)-3k less than or equal 14

Algebra ->  Inequalities -> SOLUTION: 2(k+4)-3k less than or equal 14      Log On


   

Question 702212: 2(k+4)-3k less than or equal 14
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%28k%2B4%29-3k%3C=14 Start with the given inequality.


2k%2B8-3k%3C=14 Distribute.


-k%2B8%3C=14 Combine like terms on the left side.


-k%3C=14-8 Subtract 8 from both sides.


-k%3C=6 Combine like terms on the right side.


k%3E=%286%29%2F%28-1%29 Divide both sides by -1 to isolate k. note: Remember, the inequality sign flips when we divide both sides by a negative number.


k%3E=-6 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is k%3E=-6