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 $B \cup C$

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, $B\cup C$ = {3, 4, 5,6}$\cup$ {5, 6, 7, 8} = {3, 4, 5, 6, 7, 8}

Answer 2

Answer:

B U C = { 3,4,5,6,7,8 }

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 }

B U C = { x:x € B or x € C }

= { 3,4,5,6 } U { 5,6,7,8 }

= { 3,4,5,6,7,8 }

•••••