Disjunction
How to find the truth value of the disjunction of two statements: definition, truth value, 2 examples, and their solutions.
Definition
Thuth Value
[p ∨ q] means [p or q].
So if either p or q is true,
p ∨ q is true.
If both p and q are all false,
p ∨ q is false.
Example
Solution
Solution (Detail)
p: 5 is a positive number.
This is true.
p is true.
Then p ∨ q is true.
It doesn't matter
whether q is true or not.
[p is true] makes [p or q] true.
So true is the answer.
Example
Solution
Solution (Detail)
q: 1 + 1 = 3
This is false.
s: 2 > 9
This is also false.
Both q and s are all false.
So q ∨ s is false.
So false is the answer.