SOLUTION: Solve the inequality and graph the solution. 3<2x<7

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Question 157354: Solve the inequality and graph the solution.
3<2x<7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%3C2x%3C7 Start with the given compound inequality


3%2F2%3Cx%3C7%2F2 Divide all sides by 2 to isolate "x"


So the answer is 3%2F2%3Cx%3C7%2F2



So the answer in interval notation is ()


So the answer in set-builder notation is


Here's the graph of the solution set

Graph of the solution set

Note:
There is an open circle at x=3%2F2 which means that we're excluding this value from the solution set
Also, there is an open circle at x=7%2F2 which means that we're excluding this value from the solution set.