Suppose U={1,2,3,4,5,6,7,8} is the universal set and P={2,4,6,8}. Then what is the complement of P?

we have

U={1,2,3,4,5,6,7,8}

we know that

The complement of P is all the elements of U that are not in P.

so

P'={1,3,5,7,9}

therefore

the answer is

the complement of P is {1,3,5,7,9}

P' = { 1, 3, 5,7}.

Step-by-step explanation:

Given : Suppose U={1,2,3,4,5,6,7,8} is the universal set and P={2,4,6,8}.

To find : Then what is the complement of P?

Solution : We have given that

U={1,2,3,4,5,6,7,8} is the universal set.

P={2,4,6,8}.

Complement : the complement of a set A refers to elements not in A.

Here we can see P has 2, 4, 6, 8 but not have 1, 3,5,7 that exist in U.

So the complement of P is

P' = { 1, 3,5,7}.

Therefore, P' = { 1, 3,5,7}.