# Conjunction

A conjunction is a compound statement formed by combining two statements using the word and .

Example:

Consider the following statements.

$p$ : A pentagon is a five sided figure.

$q$ : Red is a color.

$r$ : Wednesday is the last day of the week.

Two statements can be joined using the word and .

$p\wedge q$ : A pentagon is a five sided figure and red is a color.

The symbol $\wedge$ is used to denote and .

A conjunction is true only if both the statements in it are true. Here the statements $p$ and $q$ are true. So, the conjunction $p\wedge q$ is true.

The statement $p$ is true and the statement $q$ is false.

So, the conjunction $p\wedge r$ is false.