SOLUTION: 3x+1<-2 or 2x+3>5

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Question 168928: 3x+1<-2 or 2x+3>5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let's solve the first inequality 3x%2B1%3C-2:


3x%2B1%3C-2 Start with the first inequality.


3x%3C-2-1 Subtract 1 from both sides.


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


x%3C%28-3%29%2F%283%29 Divide both sides by 3 to isolate x.


x%3C-1 Reduce.


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Now let's solve the second inequality 2x%2B3%3E5:


2x%2B3%3E5 Start with the second inequality.


2x%3E5-3 Subtract 3 from both sides.


2x%3E2 Combine like terms on the right side.


x%3E%282%29%2F%282%29 Divide both sides by 2 to isolate x.


x%3E1 Reduce.


So our answer is x%3C-1 or x%3E1