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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.
Expert 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
