Stumped on inequality
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Stumped on inequality

[From: ] [author: ] [Date: 13-02-16] [Hit: ]
(−∞, 0) -I dont see how there could be a Solution because a number times 6 cant be bigger than that number times 7 or can it idk im thinking no Solution.......
I feel like I'm missing an obvious answer to this homework problem. The paper tells me to solve this inequality and put the answer, if there is one, in interval notation. I just don't know if there is no solution or what.

Problem: x > 6x > 7x

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Start with x > 6x:
x > 6x
x - x > 6x - x
0 > 5x
0/5 > 5x/5
0 > x
x < 0
So x has to be negative.
Similarly, if you solve 6x > 7x, you will also get x < 0.
(−∞, 0) <==== interval notation

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I don't see how there could be a Solution because a number times 6 cant be bigger than that number times 7 or can it idk im thinking no Solution.

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Hint: Negatives
1
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