Define conjunction and disjunction in discrete mathematics
Answers
Answer:
Step-by-step explanation:
When two statements are connected with an 'and,' you have a conjunction. For conjunctions, only when both statements are true is the combined compound statement true.
For example, if we had 'squares are rectangles' and 'circles are ovals' as our two statements, and we combined them with 'and' to make the compound statement 'squares are rectangles and circles are ovals,' this new compound statement is true only when the two statements we began with are true. If only one is true and the other is false, the compound statement is also false.
A disjunction is a compound statement formed by joining two statements with the connector OR. The disjunction "p or q" is symbolized by pq. A disjunction is false if and only if both statements are false; otherwise it is true.
Step-by-step explanation:
Conjunctions and disjunctions are ways of joining logical statements, with every joined, compound statement either true or false. For conjunctions, both statements must be true for the compound statement to be true. For disjunctions, only one statement needs to be true for the compound statement to be true.