Question

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.What is the complement of A? *

Answer 1

Answer:

0

Step-by-step explanation:

because the factors present in A is 0

Answer 2

The complement of A is { -4, 3, -2, -1 , 1, 2, 3 ,4}.

Given:

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4}

A = {0}

To Find:

The complement of A.

Solution:

We are required to find the complement of A.

• The complement of a set includes all the elements of the universal set that are not present in the given set.

• The complement of the set(A) is represented as (A').

The Universal Set, U = { -4, 3, -2, -1, 0, 1, 2, 3 ,4}

A = {0}

The complement of A is the difference between the elements of the universal set and set A

A' = U - A   -------(1)

Substitute the value of U and A in equation(1)  we get

A' = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} - {0}

A' =  { -4, 3, -2, -1 , 1, 2, 3 ,4}

Therefore, The complement of A is { -4, 3, -2, -1 , 1, 2, 3 ,4}.

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