Question

{ 2, 6, 10, 14 } and { 3, 7, 11, 15} are disjoint sets. State whether the statement is True (or) False And Justify it

Answer 1

concept : Two sets A and B are said disjoint sets only when intersection of A and B becomes empty set or null set.
e.g., if A and B are two sets then they are disjoint sets when $A\cap B=\emptyset$.

now come to the question,
Let us assume, A = {2, 6, 10, 14}
And, B = {3, 7, 11, 15}
then, $A\cap B$ = {2, 6, 10, 14} $\cap$ {3, 7, 11, 15}
= $\emptyset$

here we get, A intersection B = $\emptyset$
so, given sets are disjoint sets.
hence, the statement is true.

Answer 2

Solution :

Given statement is True .

Explanation :

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Two sets A and B are said to be

disjoint , if they have no elements

in common .

If A cap B = { } then A , B are disjoint.

****************************************

Here ,


Let A = { 2,6,10,14 } ,

B = { 3,7,11,15 }

A cap B = { 2,6,10,14 } cap { 3,7,11,15 }

= { }

Or

Set A and B are disjoint as they

have no elements in common.

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