SOLUTION: -6(w+1)<2(w+5) Thank you so much!

Algebra ->  Inequalities -> SOLUTION: -6(w+1)<2(w+5) Thank you so much!      Log On


   

Question 539549: -6(w+1)<2(w+5)
Thank you so much!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-6%28w%2B1%29%3C2%28w%2B5%29 Start with the given inequality.


-6w-6%3C2w%2B10 Distribute.


-6w%3C2w%2B10%2B6 Add 6 to both sides.


-6w-2w%3C10%2B6 Subtract 2w from both sides.


-8w%3C10%2B6 Combine like terms on the left side.


-8w%3C16 Combine like terms on the right side.


w%3E%2816%29%2F%28-8%29 Divide both sides by -8 to isolate w. note: Remember, the inequality sign flips when we divide both sides by a negative number.


w%3E-2 Reduce.


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Answer:

So the solution is w%3E-2


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