SOLUTION: -x + 4 – 9x + 3 ≥7 ( x – 2)

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Question 148853: -x + 4 – 9x + 3 ≥7 ( x – 2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-x+%2B+4-9x+%2B+3+%3E=7+%28+x-2%29 Start with the given inequality.


-x+%2B+4-9x+%2B+3+%3E=7x-14 Distribute.


-10x%2B7%3E=7x-14 Combine like terms on the left side.


-10x%3E=7x-14-7 Subtract 7 from both sides.


-10x-7x%3E=-14-7 Subtract 7x from both sides.


-17x%3E=-14-7 Combine like terms on the left side.


-17x%3E=-21 Combine like terms on the right side.


x%3C=%28-21%29%2F%28-17%29 Divide both sides by -17 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C=21%2F17 Reduce.


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Answer:

So the answer is x%3C=21%2F17


Which approximates to x%3C=1.235