# Disjunction

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

**
Example :
**

Consider the following statements.

$p:25\times 4=100$

$q$ : 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
*
.

$p\vee q:25\times 4=100$
*
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.