Question

X= {x:x is a factor of 24) and Y = {x:xis a factor of 36) then
verify n(AUB) + n(An B) = n(A) + n(B)
Solution:​

Answer 1

Step-by-step explanation:

A={x:x is a prime factor of 30}

we will find all the prime factors of 30 and include them in set A

∴A={1,2,3,5,6,10,15,30}

similarly for set B

B={1,2,3,4,6,8,12,24}

A∪B={1,2,3,4,5,6,8,10,12,15,24,30}

union is all the components of 2 or more sets and writing the common components 1 time

A∩B={1,2,3}  

intersection means the common elements of 2 or more sets