(a) Let P(x) be the predicate “−10 < x < 10” with domain
Z+ (the set of all positive integers). Find the truth set of
(b) Rewrite the statement Everybody trusts somebody in formal language using the quantiﬁers ∀ and ∃, the variables x and y, and a predicate P(x,y) that you must deﬁne.
(c) Write the negation of the statement in (b) both formally and informally.
So x < 10 and x = 1, x=2 ,...... x = 9.
So Trusth set is s =
P(x,y) : x trusth y.
Negation : .
Informally, there is a person , who does not trust anybody.
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