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- Sep 7th 2011, 12:08 AMjuliakA few questions involving square roots and inequalities
- Sep 7th 2011, 12:49 AMProve Itre: A few questions involving square roots and inequalities
For the first one, is not equal to .

You should start by squaring both sides. - Sep 7th 2011, 01:04 AMProve Itre: A few questions involving square roots and inequalities
- Sep 7th 2011, 01:20 AMProve Itre: A few questions involving square roots and inequalities
b) Your working has been marked incorrect because you have failed to realise that multiplying or dividing both sides of an inequality changes the inequality sign. It's quite possible that your denominators could be negative. The easiest way to do this is first to note that and , then...

Now to solve this, you need to consider two cases, the first where and the second where .

Case 1:

which gives

Case 2:

which gives

So the solution is . - Sep 7th 2011, 01:34 AMProve Itre: A few questions involving square roots and inequalities
- Sep 7th 2011, 08:13 AMmathjeetRe: A few questions involving square roots and inequalities
is true only if x = 1 which is the solution.