Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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4. [Disproof by Counter Example]
Prove that the following statements are false.
a) x² = 4 ⇒x=2.
b) For all real values of a and b, a-b>0
a²-b² >0.
c) The sum of two unequal, positive, irrational numbers is irrational.
d) The product of two unequal, positive, irrational numbers is irrational.
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Transcribed Image Text:4. [Disproof by Counter Example] Prove that the following statements are false. a) x² = 4 ⇒x=2. b) For all real values of a and b, a-b>0 a²-b² >0. c) The sum of two unequal, positive, irrational numbers is irrational. d) The product of two unequal, positive, irrational numbers is irrational.
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