Question

For all sets A, B and C ,

Is (A – B) ∩ (C – B) = (A ∩ C) – B? Justify your answer


guys please ans it fast​

Answer 1

Answer:

universal set = 1,2,3,4,5

let set a = 1,2,3

set b = 2,3

set c = 3,4,5

then (a-b) = 1,2

and (c-b) = 4,5

therefore

(a-b) intersection (c-b) = ()

and (a n c)= 3

therefore (a n c)-b = 0

HENCE PROVED