Suppose x and y are real numbers and x ∗ y = 12. Then x ̸= 5 and y ̸= −2. (a) What’s wrong with the following proof of the theorem? Proof. Suppose the conclusion of the theorem is false. Then x = 5 and y = −2. But then x∗ y = −10, which contradicts the given information that x∗ y = 12. Therefore the conclusion must be true
Suppose x and y are real numbers and x ∗ y = 12. Then x ̸= 5 and y ̸= −2. (a) What’s wrong with the following proof of the theorem? Proof. Suppose the conclusion of the theorem is false. Then x = 5 and y = −2. But then x∗ y = −10, which contradicts the given information that x∗ y = 12. Therefore the conclusion must be true
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.2: Solving Inequalities
Problem 62WE
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Question
Suppose x and y are real numbers and x ∗ y = 12. Then
x ̸= 5 and y ̸= −2.
(a) What’s wrong with the following proof of the theorem?
Proof. Suppose the conclusion of the theorem is false. Then x = 5 and y = −2.
But then x∗ y = −10, which contradicts the given information that x∗ y = 12.
Therefore the conclusion must be true
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