Rangoli G. answered • 05/25/22

PhD in Mathamatics with 10+ years of teaching experience

(a) |A| represents the cardinality of the set A. In simpler words, the number of elements that set A has.

For A∩B∩C , we find the elements which are in common with all three sets

So, A∩B∩C = {c, e}

Hence,** |A∩B∩C|=2**

(b) C¯ is defined as all the elements which are there in set U but not in set C

Hence, **C¯={a,g}**

(c) A¯ ={g, n, w} (From the above definition of complement)

B – C , known as difference of sets represents set of all elements which are there in B but not in C.

So, B – C = {a, g}

Hence, **A¯∪ (B – C)={a, g, n, w}**