COMPUTER SCIENCE DISCRETE MATH 6. (optional) Let B(X), C(x), D(x) and E(x) be th

Question

COMPUTER SCIENCE DISCRETE MATH

6. (optional) Let B(X), C(x), D(x) and E(x) be the statements ''x is a kid'', ''x is intelligent'', ''x is able to manage a dog'', ''x is despised'' respectively. Suppose the universe of discourse is the set of all people. Express each of the sentence using qualifiers; logical connectives, and B(X), C(x), D(x) and E(x). (20 pts.) (a) Kids are not intelligent. Answer: (b) Nobody is despised who can manage a dog. Answer: (c) People who are not intelligent are despised. Answer: (d) kids cannot manage dogs. Answer: (e) Does (d) follow from (a) (b) (c)? If not, is there a correct conclusion? Answer:

Explanation / Answer

Ans :

a) Kids are not intelligent
ans) B => ~ C

b) Nobody is despised who can manage a dog.
ans) D => ~ E

c) People who are not intelligent are despised.
ans) ~C => E

d) Kids cannot manage dogs.
ans) B => ~ D

e) Does (d) follow from (a) (b) (c) ?
ans) Yes (d) follows (a) (b) (c)
  

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