Question

The intersection of any two disjoint sets is a null set. Justify your answer.

Answer 1

A=(a,b , c, d)
B=(p,q , r , s )
A intersection B=( )
( )=null set

Answer 2

Given

• two disjoint sets

To prove

• intersection of any two disjoint sets is a null set

Solution

we are provided with two dissoing set order asked to prove that there intersection would be a null set.

we know that a null set is a set set which does not have any elements inside it aur the number of elements inside a null set would be zero.

Two sets are said to be disjoint when they do not have any elements in common for example let us define set A and set B as follows,

A = {1,2,3}

B = {4,5,6}

evidentally, the intersection of above sets that is set A and set B would not contain any elements,

A intersection B = no elements

Therefore, we can conclude that set A and B are disjoint.

From the above example itself it could be logically and mathematically understood that a intersection of disjoints sets would not contain any elements.

Hence, it is proved that the intersection of disjoint sets is null set.

(The Venn diagram representing the dissoline set is provided in the figure.)