Question

Identify the elements of the sets AUB, ANB,A-B,B-A and u in the given venn diagram ​

Answer 1

SOLUTION

TO DETERMINE

The elements in the given sets

EVALUATION

• A ∪ B

• A ∩ B

• A - B

• B - A

• U

EVALUATION

Venn diagram is referred to the attachment

1. A ∪ B :

$\sf{A \cup B = \{ \: x : x \in \:A \: \: or \: x \in \: B \}}$

$= \sf{ \{ \: a, b, c, d, e , f, g , h \: \}}$

2. A ∩ B :

$\sf{A \cap B = \{ \: x : x \in \:A \: \: and \: \: x \in \: B \}}$

$= \sf{ \{ \: a, d, h \: \}}$

3. A - B :

$\sf{A - B = \{ \: x : x \in \:A \: \: and \: x \notin \: B \}}$

$= \sf{ \{ \: c, f \: \}}$

4. B - A :

$\sf{ B - A= \{ \: x : x \in \:B \: \: and \: x \notin \: A \}}$

$= \sf{ \{ \: b, e , g \: \}}$

5. Universal Set U :

$\sf{U = \{ \: a, b, c, d, e , f, g , h , k, m, u\: \}}$

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