Disjunction

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

Example :

Consider the following statements.

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.

or A trapezoid has two pairs of opposite sides parallel.

The symbol 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 is true.

The statement q is false and r false.

So, the disjunction is false.