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Question Number 135723 by Algoritm last updated on 15/Mar/21

Answered by liberty last updated on 15/Mar/21

(1) (√(x+3)) +((9−x))^(1/4)  ≤ (√3) ∧ x^2 −16>0  (2)(√(x+3)) +((9−x))^(1/4)  ≥(√3) ∧ x^2 −16>0  solution : (1)∪(2)

$$\left(\mathrm{1}\right)\:\sqrt{{x}+\mathrm{3}}\:+\sqrt[{\mathrm{4}}]{\mathrm{9}−{x}}\:\leqslant\:\sqrt{\mathrm{3}}\:\wedge\:{x}^{\mathrm{2}} −\mathrm{16}>\mathrm{0} \\ $$$$\left(\mathrm{2}\right)\sqrt{{x}+\mathrm{3}}\:+\sqrt[{\mathrm{4}}]{\mathrm{9}−{x}}\:\geqslant\sqrt{\mathrm{3}}\:\wedge\:{x}^{\mathrm{2}} −\mathrm{16}>\mathrm{0} \\ $$$${solution}\::\:\left(\mathrm{1}\right)\cup\left(\mathrm{2}\right) \\ $$$$ \\ $$

Commented by dhgt last updated on 04/May/21

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