Let P(x)-x is a baby
Q(x)- x is logical
R(x)-x is able to manage a crocodile
S(x)-x is despised.
Suppose that the domain consists of all people.Express each of the these statements using quantifiers
(a)Babies are illogical
(b)Nobody is despised who can manage a crocodile
(c)Illogical persons are despised
(d)Babies cannot manage crocodiles.
My Answers were
(a)∀x($P(x)\rightarrow \sim Q(x)$)
(b)$\sim$∃x(S(x) ^ R(x))
(c)∀x($\sim Q(x)\rightarrow S(x)$ )
(d)∀x($P(x)\rightarrow \sim R(x)$)
Please verify my answers.