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Difference of Two Sets

If A=5,6,7,...

Question

If $A = {5, 6, 7, 8}, B = {1, 3, 5, 7}$ , then the universal set is

A

{12, 13, 2, 8, 9, 10, 11, 20}

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B

{1, 4, 5, 8, 9, 12}

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C

{1, 3, 5, 6, 7, 8}

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D

None of these

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Solution

The correct option is C ${1, 3, 5, 6, 7, 8}$
Given, $A = {5, 6, 7, 8}$ , $B = {1, 3, 5, 7}$
Universal set is a set which contains all elements of $A$ and $B$ .
$∴$ Universal Set $= {1, 3, 5, 6, 7, 8}$

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A = {1, 2, 3}, B = {2, 4, 5, 6}

C = {1, 3, 5, 7}

, then find the universal set

If a universal set $U = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12} A = {4, 6, 8, 10, 12} B = {3, 5, 7, 9, 11}$ then $(A \cup B)^{'}$ is

Q. Let A and B be two sets in the same universal set. Then,

A - B =

A \cap B

A' \cap B

A \cap B'

(d) none of these.

Q. Let U be the universal set containing 700 elements. If A, B are sub-sets of U such that

n (A) = 200, n (B) = 300 and (A \cap B) = 100

n (A' \cap B') =

(a) 400
(b) 600
(c) 300
(d) none of these.

Let U be the universal set containing 700 elements. If A, B are sub-sets of U such that n (A) = 200, n(B) =300 and $n (A \cap B)$ = 100. Then , $n (A^{'} \cap B^{'}) =$

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