Question

What is a conjunction and disjunction

Answer 1

In mathematics, a conjunction is a compound statement true only when both connected statements are true, while a disjunction is true if at least one of the statements is true. These logical connectives use the symbols ∧ and ∨ respectively and are key in logical reasoning and Boolean algebra.

Step-by-step explanation:

In mathematics, a conjunction and a disjunction are types of compound statements or logical connectives that are formed by combining two or more statements. A conjunction is a compound statement that is true only when both of the statements it connects are true. It is represented by the symbol ∧, often read as 'and'. For example, the conjunction of 'p' and 'q' can be represented as 'p ∧ q' and is only true when both 'p' and 'q' are true.

A disjunction, on the other hand, is a compound statement that is true if at least one of the statements it connects is true. It is represented by the symbol ∨, which is often read as 'or'. So, the disjunction of 'p' and 'q' is written as 'p ∨ q' and is true when either 'p' or 'q' or both are true. Disjunctions and conjunctions are fundamental operations in the field of Boolean algebra and are used in logical reasoning and proofs.

Answer 2

When two statements are combined with an ‘and’, you have a conjunctions. For conjunctions, both statements must be true for the compound statement to be true. When your two statements are combined with an ‘or’, you have a disjunction.