SOLUTION: 7x+2>4x+15 3(x-7)>18

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Question 352484: 7x+2>4x+15
3(x-7)>18
Answer by jim_thompson5910(35256) About Me  (Show Source):
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# 1

7x%2B2%3E4x%2B15 Start with the given inequality.


7x%3E4x%2B15-2 Subtract 2 from both sides.


7x-4x%3E15-2 Subtract 4x from both sides.


3x%3E15-2 Combine like terms on the left side.


3x%3E13 Combine like terms on the right side.


x%3E%2813%29%2F%283%29 Divide both sides by 3 to isolate x.


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Answer:

So the solution is x%3E13%2F3

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# 2

3%28x-7%29%3E18 Start with the given inequality.


3x-21%3E18 Distribute.


3x%3E18%2B21 Add 21 to both sides.


3x%3E39 Combine like terms on the right side.


x%3E%2839%29%2F%283%29 Divide both sides by 3 to isolate x.


x%3E13 Reduce.


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Answer:

So the solution is x%3E13


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