Question

Let A = {2, 5, 6, 8} and B = {5, 7, 9, 1}. Find A ∪ B.

Answer 1

Answer:

A U B = { 1 , 2 , 5 , 6 , 7 , 8  9 }

Step-by-step explanation:

A = {2, 5, 6, 8}

B = {5, 7, 9, 1}

5 is common so it will come only once and all others from A & B

A U B = { 1 , 2 , 5 , 6 , 7 , 8  9 }

5 is only common so

A ∩ B = 5

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

For any two non empty sets A and B, Union of A & B is denoted by A ∪ B and defined as

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

GIVEN

A = {2, 5, 6, 8} and B = {5, 7, 9, 1}

TO DETERMINE

A ∪ B

CALCULATION

By definition

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

Hence

$\sf{ \: A \cup \: B = \{ \: 1, 2,5,6,7,8,9 \: \}}$

ADDITIONAL INFORMATION

A Venn Diagram is attached

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LEARN MORE FROM BRAINLY

Represent all possible one-one functions from the set A = {1, 2} to the set B = {3,4,5) using arrow diagram.

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