SOLUTION: 3. Solve the inequality. Express your solution in interval notation and please be sure to show all of your work.
(x-3)²/x(x-1)> 0
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Question 467365: 3. Solve the inequality. Express your solution in interval notation and please be sure to show all of your work.
(x-3)²/x(x-1)> 0
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The critical numbers are 0, 1, 3.
In the interval (, 0): . (Use the test number x = -1.)
In the interval (0, 1): . (Use the test number x = 1/2.)
In the interval (1, 3): . (Use the test number x = 2.)
In the interval (3,): . (Use the test number x = 4.)
The critical numbers are not included in the solution set. (Why?)
Hence the solution set is (, 0)U(1, 3)U (3,).
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