Question

11. Are the following pairs of sets disjoint?
(i) A = {x : x = 6n, n e N and n <5}
B = {x : x = 7n, n e N and n < 5)​

Answer 1

$\large\underline\purple{\bold{Solution :- }}$

It is

Given that

$\rm :\implies\:A = \{x : x = 6n, n \in \: N \: and \: n < \: 5 \}$

In roster form,

• Set A can be represented as

$\bigstar \: \: { \boxed{ \red{ \tt \: A \: = \{6,12,18,24 \}}}} - - (1)$

Also,

Given that

$\rm :\implies\:B = \{x : x = 7n, n \in \: N \: and \: n < \: 5 \}$

In roster form,

• Set B can be represented as

$\bigstar \: \: { \boxed{ \red{ \tt \:B = \{7,14,21,28 }}} - - (2)$

So,

From (1) and (2), we concluded that

$\rm :\implies\:A \: \cap \: B \: = \: \phi$

Hence, A and B are disjoint sets.