Question

Given:

p: The bib is a bub.

q: The bub is a bub.

Which of the following is logically equivalent to /?

If the bib is a bub, then the bub is a bab.
If the bub is not a bab, then the bib is not a bub.
If the bib is not a bub, then the bub is not a bab.
If the bib is a bub, then the bub is not a bab.

Answer 1

Answer: (A) If it is a bib, then it is a bab

Explanation:

p: The bib is a bub.

Rewrite it as: If it is a bib, then it is a bub.

• hypothesis: It is a bib
• conclusion: It is a bub

q: The bub is a bab.

Rewrite it as: If it is a bub, then it is a bab

• hypothesis: It is a bub
• conclusion: It is a bab

The conclusion of p equals the hypothesis of q so the Law of Syllogism can be applied --> hypothesis of p → conclusion of q