Question

If the universal set U = {2, 4, 6, 8, 10) and F = {4,10), t hen F'is
A ? {1,3,5,7,9)
B. ? ] {2.6.8)
c. ? | [4.6.8.10)
? (5.7.9)​

Answer 1

Answer:

B is the answer

f' means all the other elements in the universal set except the elements in F

so the answer is 2,6,8

Answer 2

The F"= { 2, 6, 8}

What is Compliment of set?

If universal set (U) is having a subset A then the complement of set A which is represented as A', is other than the elements of set A which includes the elements of the universal set but not the elements of set A. Here, A' = {x ∈ U : x ∉ A}. In other words, the complement of a set A is the difference between the universal set and set A.

Example of Complement of a Set

If the universal set is all prime numbers up to 25 and set A = {2, 3, 5} then the complement of set A is other than the elements of A.

• Step 1: Check for the universal set and the set for which you need to find the complement. U = {2, 3, 5, 7, 11, 13, 17, 19, 23}, A = {2, 3, 5}.

• Step 2: Subtract, that is (U - A). Here,

U - A = A'

= {2, 3, 5, 7, 11, 13, 17, 19, 23} - {2, 3, 5}

= {7, 11, 13, 17, 19, 23}

Given set:

U = {2, 4, 6, 8, 10)

F=  {4,10}

Now, we have to find the compliment of F.

The compliment of F contain all the elements excepts that one which is not in set F.

i.e., F"= {2, 6, 8}

Learn more about compliment of set here:

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