Question

the complement of set A is​

Answer 1

Answer:

If U is a universal set and A be any subset of U then the complement of A is the set of all members of the universal set U which are not the elements of A.

A′ = {x : x ∈ U and x ∉ A}

Alternatively it can be said that the difference of the universal set U and the subset A gives us the complement of set A.

Answer 2

The complement of the set A is U - A or A'

Given :

The set A

To find :

The complement of the set A

Solution :

Step 1 of 2 :

Write down the given set

Here the given set is A

Step 2 of 2 :

Find the complement of the set A

U is Universal set

We know that for any set A the complement of A is denoted by U - A or A' and defined as

U - A

= A'

= { x ∈ U : x ∉ A }

For example ,

Let us consider

U = { 1 , 2 , 3 , 4 }

A = { 1 , 3 }

Then U - A = A' = { 2 , 4 }

Hence the complement of the set A is U - A or A'

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