SOLUTION: What is the correct solution set for the inequality 1/3 < 1/4x-1 < 1?

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Question 1093521: What is the correct solution set for the inequality 1/3 < 1/4x-1 < 1?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
1/3 < 1/4x-1 < 1
add 1 to everything
4/3 < (1/4)x < 2
multiply everything by 4
(16/3) < x < 8 ANSWER
Check
2 should not work and (1/3) < -1/2 < 1 does not work.
6 should work
(1/3) < 1/2 < 1 does work
9 should not work
(1/3) < (5/4) < 1 does not work