Question:

Find the equivalent of p∧(qvr)v~(r∧~(p∧q)).

Updated On: May 29, 2024
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Solution and Explanation

The equivalent of p ∧ (q v r) v ~(r ∧ ~(p ∧ q)) is p v (~r ∧ q).
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Concepts Used:

Sets

In mathematics, a set is a well-defined collection of objects. Sets are named and demonstrated using capital letter. In the set theory, the elements that a set comprises can be any sort of thing: people, numbers, letters of the alphabet, shapes, variables, etc.

Read More: Set Theory

Elements of a Set:

The items existing in a set are commonly known to be either elements or members of a set. The elements of a set are bounded in curly brackets separated by commas.

Read Also: Set Operation

Cardinal Number of a Set:

The cardinal number, cardinality, or order of a set indicates the total number of elements in the set.

Read More: Types of Sets