Answer
A conjunction is false for all conditions except when all the statements are true.
Work Step by Step
A conjunction is false for all conditions except when all the statements are true.
Let’s take an example of a statement, “Food is not good and I had it”.
Assume that and are the statements such that:
: Food is good.
: I will have it.
The above assumed statement gives truth value false if food is not good and then I will have it.
This shows that the statement is false if both the statements are not true.
Since there are two statements, there will exist four conditions for truth value.
Consider the truth table for this statement of conjunction:
