SOLUTION: which of the following describes all the values of x that satisfy 5-2(3-x)>_5x-3(x-1)? >_ means greater than or equal to

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Question 198886: which of the following describes all the values of x that satisfy 5-2(3-x)>_5x-3(x-1)? >_ means greater than or equal to
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5-2%283-x%29%3E=5x-3%28x-1%29 Start with the given inequality.


5-6%2B2x%3E=5x-3x%2B3 Distribute.


2x-1%3E=5x-3x%2B3 Combine like terms on the left side.


2x-1%3E=2x%2B3 Combine like terms on the right side.


2x%3E=2x%2B3%2B1 Add 1 to both sides.


2x-2x%3E=3%2B1 Subtract 2x from both sides.


0x%3E=3%2B1 Combine like terms on the left side.


0x%3E=4 Combine like terms on the right side.


0%3E=4 Simplify


Since the inequality 0%3E=4 is NOT true, this means that there are NO solutions.


In other words, no matter what number you plug into 5-2%283-x%29%3E=5x-3%28x-1%29, it won't be true.