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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 ∨ q : 25 × 4 = 100   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 p ∨ q is true.


The statement q is false and r false.

So, the disjunction q ∨ r is false.