SOLUTION: solve for x: -3(x+1) - x/2 +3/2 < 0

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Question 678289:
solve for x: -3(x+1) - x/2 +3/2 < 0
Answer by pmatei(79) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply entire inequality by 2:
-6%28x%2B1%29+-x+%2B3+%3C0
Distribute:
-6x+-6+-x+%2B3+%3C0
Group like terms:
-7x+-3+%3C0
Add 3 both sides:
-7x+%3C+3
Divide by (-7) on both sides and flip sign because you divide by a negative number:
x%3E+-3%2F7