EXAMPLE 2.1.6

1. If p and q are true and r is false find the truth value of .

Solution: substitute "T" for q and "F" for r:

Simplify:

In order for a disjunction to the true, at least one of its two components must be true. This statement is FALSE.

3. If p and q are true and r is false find the truth value of .

Solution: substitute "T" for p and for q, and "F" for r.

Simplify, working outward from the innermost expression:

~T

F