SOLUTION: 3(2x-4)-4x<2x+3

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Question 112981: 3(2x-4)-4x<2x+3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%282x-4%29-4x%3C2x%2B3 Start with the given inequality



6x-12-4x%3C2x%2B3 Distribute


2x-12%3C2x%2B3 Combine like terms on the left side


2x%3C2x%2B3%2B12Add 12 to both sides


2x-2x%3C3%2B12 Subtract 2x from both sides


0x%3C3%2B12 Combine like terms on the left side


0x%3C15 Combine like terms on the right side


0%3C15 Simplify

Since this inequality is always true for any x value, this means there are an infinite number of solutions.