SOLUTION: What is the solution to the inequality 3(x-1)-4 lesser than or equal to 2(3x+1) ?

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Question 622195: What is the solution to the inequality 3(x-1)-4 lesser than or equal to 2(3x+1) ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%28x-1%29-4%3C=2%283x%2B1%29 Start with the given inequality.


3x-3-4%3C=6x%2B2 Distribute.


3x-7%3C=6x%2B2 Combine like terms on the left side.


3x%3C=6x%2B2%2B7 Add 7 to both sides.


3x-6x%3C=2%2B7 Subtract 6x from both sides.


-3x%3C=2%2B7 Combine like terms on the left side.


-3x%3C=9 Combine like terms on the right side.


x%3E=%289%29%2F%28-3%29 Divide both sides by -3 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E=-3 Reduce.


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Answer:

So the solution is x%3E=-3