Question

4) a) If A and B are the set of even integers and set of odd integers, respectively, find
AÈB and c (A ÈB) . (2)
b) i) Find A× B, and the number of elements in it, where
A ={3n + 2 |1£ n £10}Í Z, and
B = {nÎZ |1 £ n £15}Ç{mÎZ | 2 /| m}.
ii) Given any two sets C and D , under what conditions on them will C×D and
D×C have the same number of elements? Give reasons for your answer. (5)
c) Express the following situation in a Venn diagram:
In a survey of 60 women, it is found that 25 have studied upto Class 12 only, 10
have studied till Class 10 only, 26 got scholarships, 9 of those studying till Class 12
got scholarships, 8 of those studying till Class 10 got scholarships, and 11 had
completed their BA degree.