Q. Let R={4,8,12,16} and S={2,6,10,14,20}. What is R∩S?Choices:(A){2,4,6,8,10,12,14,16,20}(B) ∅(C){2,4,6,8,10,12}(D){4,20}
Given sets R and S: Given sets R={4,8,12,16} and S={2,6,10,14,20}, we need to find the intersection of R and S, which is the set of elements that are common to both R and S.
Find intersection of R and S: To find the intersection, we compare each element of set R with each element of set S to see if there are any elements that appear in both sets.
Compare elements of R and S: Comparing the elements, we see that:- 4 is not in set S.- 8 is not in set S.- 12 is not in set S.- 16 is not in set S.
Intersection is empty set: Since none of the elements of set R are in set S, the intersection of R and S is the empty set, denoted by ∅.