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Ok so I've got an exam in 4 hours and I can't ever figure out these problems.

Here's the problem I'm struggling with now:

$$\frac{x}{3x - 5} \leq \frac{2}{x - 1}.$$

I've learned this so many times but my brain just cannot intuitively understand how these work. I can't cross-multiply because I don't know if the binomials are negative or not. If someone could just give a quick explanation of how to solve this sort of thing I'd really appreciate it.

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    You could start by bringing everything to one side: ${x\over 3x-5}-{2\over x-1}\le 0$. Can you take it from here?2012-09-13
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    Then I've just got two binomials in the numerator and two in the denominator. How do you derive a solution from that?2012-09-13

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