May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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Appendix A-11
22. Let p: Anand is rich, and q: Anand is humble. Negation of p ∧ q is ∼
( p ∧ q)
Truth table for ∼ ( p ∧ q)
p q
p ∧ q ∼(
p ∧ q)
T T T F
T F F T
F T F T
F F F T
23. (a) For every x, P(x) is odd.
(b) For every x, Q(x) such that x is a perfect square.
(c) For every x and y, R(x, y), that is, x + y is even.
24. (a) ∃x [p(x) ∧ q(x)]
(b) ∀x [t(x) →∼s(x)]
(c) ∀x [r(x) →∼s(x)]
(d) ∀x [t(x) →∼s(x)]
(e) ∀x [q(x) ∧ s(x)]
(f ) ∃x [∼p(x)]
ANSWERS – B
1. (a) proposition (b) No (c) No (d) proposition
(e) proposition (f ) proposition (g) No
2. (a) T (b) F (c) F (d) F
3. (a) It is not very cold today.
(b) Ganga is not a sacred river of India.
(c) Cow milk ...
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