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Could anyone help me solve this inequality? I would be really grateful if you showed how to calculate it with steps. Thank you in advance.

$\sqrt{x+2} + \sqrt{x-5} \ge 5 - x$

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closed as off-topic by Daniel W. Farlow, user147263, Claude Leibovici, Shuchang, Davide Giraudo Apr 14 '15 at 9:45

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The expression is only defined for $x\geq 5$, however for all $x\geq 5$ the left hand side is positive and the right hand side is non-positive, hence it holds for all $x\geq 5$.

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