Maths Olympiad Prep

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Algebra Difficulty 4.9 AIME Find the answer

4. Let the set M={yy=x21},N={xy=1x2}M=\left\{y \mid y=x^{2}-1\right\}, N=\left\{x \mid y=\sqrt{1-x^{2}}\right\}, then the relationship between MM and NN is

Pick one

Solution

4. A

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.