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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.](https://content.bartleby.com/qna-images/question/0df03678-79d5-4fc1-8c77-0bce24101430/0b4a8443-baf0-4f37-b63c-bda9ad4dab15/5qsxx1t_thumbnail.jpeg)
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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