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5. In each case, determine the truth-value of the given proposition. (a) If dogs can fly, then cats can fly. (b) 4 is a prime number only if 5 is a prime number. (c) Triangles have four sides if and only if squares have three sides. (d) 0 = 1 is a necessary and sufficient condition for 0 = 2. (e) 1+2=3 implies 2+3 = 4, and conversely.

5. In each case, determine the truth-value of the given proposition. (a) If dogs can fly, then cats can fly. (b) 4 is a prime number only if 5 is a prime number. (c) Triangles have four sides if and only if squares have three sides. (d) 0 = 1 is a necessary and sufficient condition for 0 = 2. (e) 1+2=3 implies 2+3 = 4, and conversely.

Advanced Engineering Mathematics
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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5. In each case, determine the truth-value of the given proposition. (a) If dogs can fly, then cats can fly. (b) 4 is a prime number only if 5 is a prime number. (c) Triangles have four sides if and only if squares have three sides. (d) 0 = 1 is a necessary and sufficient condition for 0 = 2. (e) 1+2=3 implies 2+3 = 4, and conversely.
Transcribed Image Text:5. In each case, determine the truth-value of the given proposition. (a) If dogs can fly, then cats can fly. (b) 4 is a prime number only if 5 is a prime number. (c) Triangles have four sides if and only if squares have three sides. (d) 0 = 1 is a necessary and sufficient condition for 0 = 2. (e) 1+2=3 implies 2+3 = 4, and conversely.
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