14. DETAILS Let o: you are online, n: you will be noticed, b: you are behind the times. Referring to the statement ~o → (~n v b), answer the following. (a) When is ~o true? no is true when o is true. ~o is true when o is false. no is true when b is false. no is true when n is true. No is always true. (b) When is (~n v b) false? ~n v b is false when n is true and b is false. ~n v b is false when o is false and b is true. ~n v b is false when o is true and b is false. ~n v b is false when n is false and b is false. ~n v b is false when n is true and b is true. (c) What are the truth values of o, n, and b when → (~n v b) is false? The statement ~o → (~n v b) is false when o is true, n is false and b is true. The statement ~o → (~n v b) is false when o is true, n is true and b is false. The statement ~o → (~n v b) is false when o is false, n is true and b is true. The statement ~o → (~n v b) is false when o is false, n is false and b is false. The statement ~o → (~n v b) is false when o is false, n is true and b is false. O O O O

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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14.
DETAILS
Let o: you are online, n: you will be noticed, b: you are behind the times.
Referring to the statement ~o → (~n v b), answer the following.
(a) When is ~o true?
no is true when o is true.
No is true when o is false.
no is true when b is false.
no is true when n is true.
~o is always true.
(b) When is (~n v b) false?
~n v b is false when n is true and b is false.
~n v b is false when o is false and b is true.
~n v b is false when o is true and b is false.
~n v b is false when n is false and b is false.
~n v b is false when n is true and b is true.
(c) What are the truth values of o, n, and b when ~o →
(~n v b) is false?
The statement ~o →
(~n v b) is false when o is true, n is false and b is true.
The statement vo → (~n v b) is false when o is true, n is true and b is false.
The statement ~o → (~n v b) is false when o is false, n is true and b is true.
The statement ~o →
(~n v b) is false when o is false, n is false and b is false.
The statement ~o → (~n v b) is false when o is false, n is true and b is false.
O O O O O
Transcribed Image Text:14. DETAILS Let o: you are online, n: you will be noticed, b: you are behind the times. Referring to the statement ~o → (~n v b), answer the following. (a) When is ~o true? no is true when o is true. No is true when o is false. no is true when b is false. no is true when n is true. ~o is always true. (b) When is (~n v b) false? ~n v b is false when n is true and b is false. ~n v b is false when o is false and b is true. ~n v b is false when o is true and b is false. ~n v b is false when n is false and b is false. ~n v b is false when n is true and b is true. (c) What are the truth values of o, n, and b when ~o → (~n v b) is false? The statement ~o → (~n v b) is false when o is true, n is false and b is true. The statement vo → (~n v b) is false when o is true, n is true and b is false. The statement ~o → (~n v b) is false when o is false, n is true and b is true. The statement ~o → (~n v b) is false when o is false, n is false and b is false. The statement ~o → (~n v b) is false when o is false, n is true and b is false. O O O O O
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