BINARY OPERATIONS: BASIC CONCEPT OF BINARY OPERATIONS : LSUS

FURTHER MATHEMATICS SSS1 FIRST TERM

WEEK 7

BINARY OPERATIONS: BASIC CONCEPT OF BINARY OPERATIONS

Contents

  • Concept of binary operations,
  • Closure property
  • Commutative property
  • Associative property and
  • Distributive property.

Definition:

A binary operation is any rule of a combination of any two elements of a given non-empty set. The rule of combining two elements of a set may give rise to another element that may or may not belong to the set under consideration.

 It is usually denoted by symbols such as, *, Ө e.t.c.

                                                                                               

Properties:

A. Closure property: A non-empty set z is closed.... View More

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