Answer
A disjunction is false only when both the statements are false.
Work Step by Step
A disjunction is false only when both the statements are false.
For example, let’s take a statement, “Food is not good, and I did not have it”.
Assume that and are the statements such that:
: Food is good.
: I will have it.
The above assumed statement gives truth value false because disjunction always considers the truth value true and in the above statement, there is no true statement.
Since there are two statements, there will exist four conditions for truth values.
Consider the truth table for this statement of conjunction:
