SOLUTION: 3(7 + 2x) ≤ 30 + 7(x - 1) can someone help me resolve this inequality for my algebra class Thank you Debra

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Question 198058: 3(7 + 2x) ≤ 30 + 7(x - 1)
can someone help me resolve this inequality for my algebra class
Thank you
Debra
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%287%2B2x%29%3C=30%2B7%28x-1%29 Start with the given inequality.


21%2B6x%3C=30%2B7x-7 Distribute.


21%2B6x%3C=7x%2B23 Combine like terms on the right side.


6x%3C=7x%2B23-21 Subtract 21 from both sides.


6x-7x%3C=23-21 Subtract 7x from both sides.


-x%3C=23-21 Combine like terms on the left side.


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


x%3E=%282%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%3E=-2 Reduce.


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Answer:

So the answer is x%3E=-2