Question

lf A= {1, 2, 3, 4}, B={3, 4, 5, 6}, C={5, 6, 7, 8 } and D={ 7, 8, 9, 10 10}; find $A \cup B \cup D$

Answer 1

concept : if two sets A and B are given, then union of set A and B is written as $A\cup B$ . This is the set of all distinct elements that are in Both A or B. see figure, Venn diagram shown, represents that the $\cup$ of any two sets will give all the members of the two sets together, and not replicating the common member twice.

here, A= {1, 2, 3, 4}, B={3, 4, 5, 6}, C={5, 6, 7, 8 } and D={ 7, 8, 9, 10}

so, $A\cup B\cup D$ = {1 , 2, 3, 4} U {3, 4, 5, 6} U {7, 8, 9, 10}
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} .

Answer 2

Answer:

A U B U D = { 1,2,3,4,5,6,7,8,9,10 }

Step-by-step explanation:

Given A = { 1,2,3,4 }

B = { 3,4,5,6 }

C = { 5,6,7,8 }

D = { 7 ,8, 9,10 }

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We know that ,

If A ,B are two sets then

A U B = { x : x € A or x € B }

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AUBUD

= ( A U B ) U D

= ( { 1,2,3,4 } U { 3,4,5,6 } ) U D

= { 1,2,3,4,5,6 } U D

= { 1,2,3,4,5,6 } U { 7,8,9,10 }

= { 1,2,3,4,5,6,7,8,9,10 }

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