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Express each of these statements into logical expressions using predicates, quantifiers,
and logical connectives. Let the domain consist of all people. Let S(x) be “x is in your
class,” P(x) be “x is perfect.”
(a) Nobody is perfect. (Use only the universal quantifier.)
(b) Nobody is perfect. (Use only the existential quantifier.)
(c) Nobody in your class is perfect.
(d) Not everybody is perfect.
(e) Someone in your class is perfect.
(f) Not everyone in your class is not perfect.
. If I own a dog, then I own an animal.
what is the inverse
Prove that 2^(n+1) > (n + 2) · sin(n) for all positive integers n
(3). If p, q, and r denote the following propositions:
p : 2 < 3.
q : The cube of -1 is -1.
r : The empty set contains one element.
express the following propositions symbolically.
(a) If 2 ≥ 3, then the cube of -1 is -1.
(b) If and only if 2 < 3 or the cube of -1 is not -1 then the empty
set does not contain one element.
(c) The empty set contains one element and, if 2 ≥ 3, then the
cube of -1 is -1.
