Neco 2018 Further Mathematics Question 1

Practice essay / theory question 1 from the 2018 Neco Further Mathematics examination. This question covers Sets, Functions, Binary Operations .

Neco 2018 Further Mathematics Essay / Theory

Topics: Sets Functions Binary Operations

Question 1 NECO • 2018 • FURTHER_MATHEMATICS • essay

Let the universal set be \(U = \{1,2,3,4,5,6,7,8\}\). Define the following subsets of \(U\):\n\n- \(A = \{x \in U \mid x \text{ is even}\}\).\n- \(B = \{x \in U \mid x > 3\}\).\n\nUsing these sets answer the following questions:

Question Parts

( a )

List the elements of \(A \cup B\).

( b )

Find the complement of \(A \cap B\) with respect to \(U\).

( c )

Define a binary operation \(*\) on the set \(A\) by \(a * b = (a + b) \bmod 8\).\n(i) State whether \(*\) is closed on \(A\).\n(ii) State whether \(*\) is associative on \(A\).

( ) Is \(*\) closed on \(A\)?

( ) Is \(*\) associative on \(A\)?

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About This Question

This is Neco 2018 Further Mathematics Question 1. It is one of the essay questions from the 2018 Neco Further Mathematics examination.

The question covers Sets, Functions, Binary Operations .

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