SOLUTION: Please solve for x -3(x+1)-x/2+3/2<0 Thank you, Janice

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Question 746948: Please solve for x
-3(x+1)-x/2+3/2<0
Thank you,
Janice
Found 2 solutions by jim_thompson5910, timvanswearingen:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-3(x+1)-x/2+3/2<0

-6(x+1)-x+3 < 0 ... multiply everything by the LCD 2 to clear out the fractions

-6x-6-x+3 < 0

-7x-3 < 0

-7x < 3

x > 3/(-7) ... note that the sign flips when you divide both sides by a negative number

x > -3/7

Final Answer: x > -3/7

Answer by timvanswearingen(106) About Me  (Show Source):
You can put this solution on YOUR website!
-3(x+1)-x/2+3/2<0
First step is to distribute.
-3x-3-x/2+3/2<0
Now, combine like terms.
-7x/2-3/2<0
Add 3/2 to both sides.
-7x/2 < 3/2
Multiply both sides by 2.
-7x < 3
Divide both sides by -7, which switches the sign of the inequality (multiplying or dividing by a negative number results in a switch of the sign)
x > -3/7