Neco 2022 Further Mathematics Question 1

Practice essay / theory question 1 from the 2022 Neco Further Mathematics examination. This question covers Sets, Binary Operations, Properties of Operations .

Neco 2022 Further Mathematics Essay / Theory
Topics: Sets Binary Operations Properties of Operations
Question 1 NECO • 2022 • FURTHER_MATHEMATICS • essay

Let A = {1, 2, 3, 4, 5}. A binary operation * is defined on A by: for any a, b in A, a * b is the remainder obtained when (a + 2b) is divided by 6.

Question Parts

( a )
Show that the operation * is closed on A.
( b )
Determine whether * is associative on A. State your conclusion with a brief justification.
( c )
Find the identity element e (if it exists) for * on A and justify why it works.
( d )
State whether each element of A has an inverse with respect to *. If an element has an inverse, give it; if not, explain why.

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About This Question

This is Neco 2022 Further Mathematics Question 1. It is one of the essay questions from the 2022 Neco Further Mathematics examination.

The question covers Sets, Binary Operations, Properties of Operations .

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