Question

Find the union of the given pairs of set: X={1, 3, 5}, Y={1, 2, 3}

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.

given, set X = {1, 3, 5} and Y = {1, 2, 3}
all the members of two sets together are 1, 3, 5, 1, 2, 3.
Now we don't have to replicate members. So, the members of union of these two sets are 1, 2, 3, 5.
so, $X\cup Y$ = {1, 2, 3, 5}.

Answer 2

Answer:

X U Y = { 1 , 2 , 3 , 5 }

Step-by-step explanation:

Given X = { 1 , 3 , 5 }

Y = { 1 , 2 , 3 }

X U Y = { x : x € X or x € Y }

= { 1 , 3 , 5 } U { 1 , 2 , 3 }

= { 1 , 2 , 3 , 5 }

•••••