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Claim: For all real numbers x and y, if x is nonnegative and less than 1, then y < y/x. Proof: x < 1 xy
Claim: For all real numbers x and y, if x is nonnegative and less than 1, then y < y/x.
Proof:
x < 1
xy < y
xy/x < y/x
y < y/x
(a) Critique the proof. Is it complete? Does it prove the claim? What are the flaws, if any? Be specific.
(b) Is the Claim true or false? Explain carefully.
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