Consider the following statement, for all x E Z: If x + 1 is even, then 3x² - 4 is odd. The correct way to start a direct proof to determine if the statement is true is as follows: Assume x is even, then x = 2k for some k € Z, then 3x²-4 ie 3(2k)2-4 i.e. a. True b. False
Consider the following statement, for all x E Z: If x + 1 is even, then 3x² - 4 is odd. The correct way to start a direct proof to determine if the statement is true is as follows: Assume x is even, then x = 2k for some k € Z, then 3x²-4 ie 3(2k)2-4 i.e. a. True b. False
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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