SOLUTION: solve and graph 4<3x+1<25

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Question 289090: solve and graph
4<3x+1<25
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%3C3x%2B1%3C25 Start with the given compound inequality.


4-1%3C3x%3C25-1 Subtract 1 from all sides.


3%3C3x%3C24 Combine like terms.


3%2F3%3Cx%3C24%2F3 Divide all sides by 3.


1%3Cx%3C8 Reduce.


So the solution is 1%3Cx%3C8. To graph this, simply draw a number line and shade between the numbers 1 and 8 (ie create a thicker line from 1 to 8). However, draw open circles at 1 and 8 to exclude them from the solution set.