Let p = "I am late for work." and q = "I had a flat tire." Under what circumstances would the
Conjunction be true?
A)If you had a flat tire.
B)If you were late to work and had a flat tire.
C)If you were late to work.
D)If you were late to work or had a flat tire.

Question

Let p = "I am late for work." and q = "I had a flat tire." Under what circumstances would the
Conjunction  be true?
A)If you had a flat tire. 
B)If you were late to work and had a flat tire. 
C)If you were late to work. 
D)If you were late to work or had a flat tire.

Quizplus · Accepted Answer

The conjunction "p and q" is true only if both p and q are true. In this case, "p" is "I am late for work" and "q" is "I had a flat tire." So the only circumstance under which the conjunction "p and q" is true is if both of these statements are true, which would be if the person was both late for work and had a flat tire. Therefore, the best choice is option B. The Conjunction p ∧ q is true only if both p and q are true. In this case, p ("I am late for work") and q ("I had a flat tire") must both be true for the Conjunction to be true. Therefore, the best choice is B ("If you were late to work and had a flat tire").

Let P = "I Am Late for Work