SOLUTION: -8x-12< or equal to -2(3x+5) solve the inequality express your answer in interval notation

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Question 102953: -8x-12< or equal to -2(3x+5) solve the inequality express your answer in interval notation
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-8x-12%3C=-2%283x%2B5%29 Start with the given inequality


-8x-12%3C=-6x-10 Distribute


-8x%3C=-6x-10%2B12Add 12 to both sides


-8x%2B6x%3C=-10%2B12 Add 6x to both sides


-2x%3C=-10%2B12 Combine like terms on the left side


-2x%3C=2 Combine like terms on the right side


x%3E=%282%29%2F%28-2%29 Divide both sides by -2 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3E=-1 Divide

So our answer in interval notation is

[-1,)