Which of the following are valid logical arguments? (Select all that are.) (Q16)

Question

Which of the following are valid logical arguments? (Select all that are.) (Q16) ?

A: p | q | r. Therefore, p | q.

B: p q; !p. Therefore, !q.

C: (p | q) r; p !q; r. Therefore, q.

D: p q; p r; r. Therefore, q.

Which of the following are valid logical arguments? (Select all that are.) (Q17) ?

A: p q; q. Therefore, p.

B: p q. Therefore, p q.

C: r (p | q); p !q; r. Therefore, (p & !q) | (q & !p).

D: p q; !q. Therefore, !p.

Which of the following are valid logical arguments? (Select all that are.) (Q18) ?

A: (p & q) | (!p & !q). Therefore, p q.

B: (p & q) | r. Therefore, (p & r) | (q & r).

C: p q. Therefore, (p & q) | (!p & !q).

D: (p & q) r; !r. Therefore, !p | !q.

Explanation / Answer

16. D p<---->r can be seen as r---->p and since p---->q then by associativity we can say that r---->q

17. A p<---->q becaucse this means p--->q and q--->p so hence q therefore p

18. (p & q) | r therefore (p&r) | (q&r) this is a distribution property of logical operators

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