SOLUTION: 2x – (7 + x) < x will someone please help me with this question... i am lost. thank you!

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Question 202679: 2x – (7 + x) < x
will someone please help me with this question... i am lost. thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x-%287%2Bx%29%3Cx Start with the given inequality.


2x-7-x%3Cx Distribute.


x-7%3Cx Combine like terms on the left side.


x%3Cx%2B7 Add 7 to both sides.


x-x%3C7 Subtract x from both sides.


0x%3C7 Combine like terms on the left side.


0%3C7 Simplify


Since the inequality is true for all values of x, this means that there are an infinite number of solutions.