# Problem Solving

## CONTENTS OF CURRICULUM UNIT 80.07.04

## Logic and Set Theory

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Conjunctions
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and
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Disjunction’s
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Two connectives used to make compound statements are the words “and” and “or.” The compound statement formed by the word “and” is called a conjunction, and the compound statement formed by the word “or” is called a disjunction. The connective “and” is often denoted by the symbol ^ , while the connective “or” is denoted by the symbol^. Example.

If p represents the statement I will go to the movies and q represents the statement I will eat at the restaurant then p ^ q represents the statement I will go to the movies and I will eat at the restaurant while p^q represents the statement I will go to the movies or I will eat at the restaurant.

Statements connected with the conjunction “and” are only true when the p statement is true and when the q statement is true. Statements connected with the disjunction “or” are true if either p or q are true. The section on truth tables will further define conjunction and disjunction.