College Math

College Math Study Guide

©2018 of 120 6.6 Truth Values and Truth Tables Every statement is either true or false. The truth statement is represented by the letter T while false is represented by F. The truth or false value of the compound statement is deducted from the value of the simple statements. For instance: If a = I play violin is false If b = I study chemistry is true Then, the conjunction a ∧ b, that is, I play violin and study chemistry is false. A truth table summarizes all possible values of a statement, that is the statement can take either be true or false, and is written as: The truth table for the negation is opposite to those of the original statement, that is, a ~ a T F F T Further, the truth tables for the conjunction and disjunction for two simple statements, represented by a and b are given as follows: a B a ∧ b a ∨ b T T T T T F F T F T F T F F F F a T F Achieve Page 102