SOLUTION: solve the inequality 2(x + 6) >= 3x - 2

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Question 536056: solve the inequality 2(x + 6) >= 3x - 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%28x%2B6%29%3E=3x-2 Start with the given inequality.


2x%2B12%3E=3x-2 Distribute.


2x%3E=3x-2-12 Subtract 12 from both sides.


2x-3x%3E=-2-12 Subtract 3x from both sides.


-x%3E=-2-12 Combine like terms on the left side.


-x%3E=-14 Combine like terms on the right side.


x%3C=%28-14%29%2F%28-1%29 Divide both sides by -1 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C=14 Reduce.


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Answer:

So the solution is x%3C=14


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