Question

prove mathematically that:( A-B)nB=empty set​

Answer 1

Answer:

we all know the set theory concept very well.

this is simple set theory

take as an eg:

A={1,2,3,7,8,9,11}

B={2,3,5,7,10}

now check for A-B which means values from set A but not belong from set B, it will give the value of {1,8,9,11}

now check for (A∩B) which means the value which is common in both, it will simply give the result{2,3,7}

now again take intersection for both new sets which we achieve

so we don't get any common value so simply give null value.

in set theory null value is represent by ∅.

hence proved.