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Concept

Disjunction

A disjunction is a compound statement using the word or. The disjunction of two statements

p

and

q

can also be written using the symbol

\lor .

Words : Symbols : p or q p \lor q

The statements that make up a disjunction are sometimes called disjuncts.

disjunct p It is raining or disjunct q it is sunny . p \lor q

A disjunction is true when at least one of the disjuncts is true. In the case where all disjuncts are false, the disjunction is false. This can be represented using a truth table.

Disjunction
$p$	$q$	$p \lor q$
T	T	T
T	F	T
F	T	T
F	F	F

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