Question 1
Consider the statements:
p: The flight departs at 9 AM
q: The flight departs at 2 PM
If p is False and q is True, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.
Step 2: Apply the given values
p = False, q = True
Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.
Step 2: Apply the given values
p = False, q = True
Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True