Question Solved1 Answer Question 4. Prove that for any \( x, y \geq 0 \), we have \( |\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|} \). (Hint. Consider the cases \( x \leq y \) and \( y \leq x \) separately. )

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Transcribed Image Text: Question 4. Prove that for any \( x, y \geq 0 \), we have \( |\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|} \). (Hint. Consider the cases \( x \leq y \) and \( y \leq x \) separately. )
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Transcribed Image Text: Question 4. Prove that for any \( x, y \geq 0 \), we have \( |\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|} \). (Hint. Consider the cases \( x \leq y \) and \( y \leq x \) separately. )
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