Question

{ 2, 6, 10 } and { 3, 7, 15} are diiioint 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 that A = {2, 6, 10}
and B = {3, 7, 15}
now , $A\cap B$ = {2, 6, 10} $\cap$ {3, 7, 15}
= $\emptyset$

hence, given sets are disjoint sets.
so, 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 .

A cap B = { }

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Here ,

Let A = { 2,6,10 }

B = { 3,7,15 }

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

= { }

Or

Sets A and B are disjoint as they have

no element in common.

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