Using the adjacent Venn diagram, find the following sets:
(i) A-B
(ii) B-C
(iii) A'\(\cup \)B')
(iii) A'\(\cap \)B'
(iv) (B\(\cup \)C)'
(vi) A-(B\(\cup \)C)
(vii) A-(B\(\cap \)C)

If A, B and C are overlapping sets, then draw Venn diagram for the following sets:
(i) (A-B)\(\cap \)C
(ii) (A\(\cup \)C)-B
(iii) A-(A\(\cap \)C)
(iv) (B\(\cup \)C)-A
(v) A\(\cap \)B\(\cap \)C

If A = {x : x = 6n, n\(\in \)W and n < 6}, B = {x : x = 2n, n \(\in \)N and 2 < n ≤ 9} and C = {x : x = 3n, n\(\in \)N and 4n ≤ n < 10}, then show that \(A-(B\cap C)=(A-B)\cup (A-C)\).

If A = {y : y =\(\frac { a+1 }{ 2 } \), a \(\in \) W and a ≤ 5}, B = {y : y =\(\frac { 2n-1 }{ 2 } \), n\(\in \)W and n < 5} and C =\(\left\{ -1,-\frac { 1 }{ 2 } ,1,\frac { 3 }{ 2 } ,2 \right\} \), then show that \(A-(B\cup C)=(A-B)\cap (A-C)\).

Verify \(n\left( A\cup B\cup C \right) =n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\)for the following sets.
(i) A = {a, c, e, f , h} , B = {c, d, e, f } and C = {a, b, c, f }
(ii) A = {1, 3, 5} , B = {2, 3, 5, 6} and C = {1, 5, 6, 7}