Question

Operations of Sets: (Union, Intersection and Differences of Sets)
1. Let A={x:x€N},B={x:x = 2n,n eN},C = {x:x= 2n–1,1 € N) and D={x:x is a prime number
Find: (i) AnB
(ii) Anc
(iii) AND
(iv) Anc (v) CND
2. Let A = {3,6,12,15,18,21},B = {4,8,12,16,20},C = {2,4,6,8,10,12,14,16), D={5,10,15,20}.
Find: (0) A-B
(ii) A-C (iii) C-A
(iv) B-D
(v) D-A
3. Let
9 ={1,2,3,4,5,6,7,8,9}, A={1,2,3,4}, B = {2,4,6,8}&C = {3,4,5,6}
A
Find: (0)
(ANC) (1) (4)
(B-C)
4. Let A={1,2,4,5}, B = {2,3,5,6} &C = {4,5,6,7} verify the following identities
(1) AU(BNC)=(AUB) (AUC) (ii) 4-(BUC)=(A-B) (A-C)
(ii) A-(BNC)=(A-B) (A-C) (iv) An (B-C)=(ANB)-(ANC)
(iv)​

Answer 1

Answer:

q.2.

# A-B = elements present in A but not in B

= 3,6,15,18 ,2

# A-C = elements present in A but not in C

= 3,15, 18,21

# C- A = elements present in C but not in A

# B-D = elements present in B but not in D

# D- A = elements present in D but not in A

4. Put the values from given data and verify.

# I can't do so because

what is (BNC)?

.......ok