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# Please solve these inequalities (my maths is rusty atm) watch

1. 1) 3 / (3x-2) > 1 / (x+4)

2) x2 < 2 + |x|

Please work through the steps as well please. Rep will be awarded.
2. We're not going to do your homework for you...
3. Lol.

In 1) I'm just struggling when I get to 14 / (3x-2)(x+4) > 0.

Ignore question 2), I admit I'm being lazy with that one.
4. x2 < 2 + |x|
x2 - x < 2
x(2 - 1) < 2
x < 2/(2-1)
x< 2/1
x< 2 I thinks that correct but not sure..
5. For the first one instead of subtrating and expanding, multiply out by the denominator squared. This does not cause any problems as the squared term will always be positive.
You should end up with:

6. for the first one can't you cross multiply first????
7. (Original post by apo1324)
for the first one can't you cross multiply first????
No, what happens if the denominator is negative?

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Updated: October 10, 2009
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