(1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute value x + yl of their sum is the sum |x| + |y| of their absolute values.
(1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute value x + yl of their sum is the sum |x| + |y| of their absolute values.
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Help me answer item 1
Transcribed Image Text:(1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute value |x + y|
of their sum is the sum |x| + |y| of their absolute values.
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