Test Index

WAEC Further Mathematics 2023 Paper

Question : 7

Total: 40

The table shows the operation * on the set {x, y, z, w}.

Solution:

Concept:

An identity element

e

satisfies

a \ast e = a

for every element

a

in the given set.

Explanation:

From the table, checking each element with

z

on the right:

x \ast z = x

y \ast z = y

z \ast z = z

w \ast z = w

In every case, the element remains unchanged after operating with

z

Therefore,

z

is the identity element for the operation

\ast

on the set

\{x, y, z, w\}

Answer:

Z

is the identity element.

Correct option: C. Z

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