If U = {1, 2, 3, 4, 5, 7, 8, 9} is a universal set and A = {1, 2, 4, 8} then find the complement of A?

Question

Question

Answer 1

CONCEPT:

Complement of a set:

Let A be any set. Then complement of A is denoted by A’ or A^c such that A’ = {x: x ∉ A} = U – A, where U is the universal set

CALCULATION:

Given: U = {1, 2, 3, 4, 5, 7, 8, 9} is a universal set and A = {1, 2, 4, 8}

Here, we have to find the complement of set A i.e A'

As we know that, if A is a set then complement of A is given by A' = {x: x ∉ A} = U – A, where U is the universal set

⇒ A' = {3, 5, 7, 9}

Hence, the correct option is 3.