SOLUTION: 7x - 2 is less than or equal to 3(3x +2)

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Question 625799: 7x - 2 is less than or equal to 3(3x +2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

7x-2%3C=3%283x%2B2%29 Start with the given inequality.


7x-2%3C=9x%2B6 Distribute.


7x%3C=9x%2B6%2B2 Add 2 to both sides.


7x-9x%3C=6%2B2 Subtract 9x from both sides.


-2x%3C=6%2B2 Combine like terms on the left side.


-2x%3C=8 Combine like terms on the right side.


x%3E=%288%29%2F%28-2%29 Divide both sides by -2 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E=-4 Reduce.


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Answer:

So the solution is x%3E=-4
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