# Disjunction

A disjunction is a compound statement formed by combining two statements using the word or .

Example :

Consider the following statements.

$p:25×4=100$

$q$ : A trapezoid has two pairs of opposite sides parallel.

$r$ : The length of the diameter of a circle is half the length of its radius.

Two statements can be joined using the word or .

$p\vee q:25×4=100$   or A trapezoid has two pairs of opposite sides parallel.

The symbol $\vee$ is used to denote or .

A disjunction is true if any one of the statements in it is true. Here the statement $p$ is true and $q$ is false. So, the disjunction $p\vee q$ is true.

The statement $q$ is false and $r$ false.

So, the disjunction $q\vee r$ is false.