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Of the following statements, which one(s) is/are vacuously true? [Important note: The question is not asking you to find all of the true statements, but to identify only the ones that are vacuously true.] (a) For all integers n, if n < 0, then |n| = -n (b) For all integers n, if n² < 0, then n < 0 (c) For all integers n, if n² > 16, then n 2 4 (d) For all integers n, if 5n 2 n, then n 2 0 (e) For all positive integers m, if m < 5, then m² < 25 (f) For all positive integers m, if m < 1, then m² < 1

Of the following statements, which one(s) is/are vacuously true? [Important note: The question is not asking you to find all of the true statements, but to identify only the ones that are vacuously true.] (a) For all integers n, if n < 0, then |n| = -n (b) For all integers n, if n² < 0, then n < 0 (c) For all integers n, if n² > 16, then n 2 4 (d) For all integers n, if 5n 2 n, then n 2 0 (e) For all positive integers m, if m < 5, then m² < 25 (f) For all positive integers m, if m < 1, then m² < 1

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Recall our discussion in class about vacuous truth. (“All of the pages in my hand are green.") Of the following statements, which one(s) is/are vacuously true? [Important note: The question is not asking you to find all of the true statements, but to identify only the ones that are vacuously true.] (a) For all integers n, if n < 0, then |n| = -n (b) For all integers n, if n² < 0, then n < 0 (c) For all integers n, if n² > 16, then n 2 4 (d) For all integers n, if 5n > n, then n 20 (e) For all positive integers m, if m < 5, then m² < 25 (f) For all positive integers m, if m < 1, then m2 <1
Transcribed Image Text:Recall our discussion in class about vacuous truth. (“All of the pages in my hand are green.") Of the following statements, which one(s) is/are vacuously true? [Important note: The question is not asking you to find all of the true statements, but to identify only the ones that are vacuously true.] (a) For all integers n, if n < 0, then |n| = -n (b) For all integers n, if n² < 0, then n < 0 (c) For all integers n, if n² > 16, then n 2 4 (d) For all integers n, if 5n > n, then n 20 (e) For all positive integers m, if m < 5, then m² < 25 (f) For all positive integers m, if m < 1, then m2 <1
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