If X={1,2,3} and n represents any member of X, write the following sets containing all numbers represented by n-1

5

(a)

Let A={3, 6, 12, 15, 18, 21}, B={4, 8, 12, 16, 20}, C={2, 4, 6, 8, 10, 12, 14, 16} and D= {5, 10, 15, 20}. Find A - B

5

(a)

If U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, A = {2, 4, 7}, B = {3, 5, 7, 9, 11} and C= {7, 8, 9, 10, 11}, then compute (A\(\cap \)U)\(\cap \)(B\(\cup \)C)

5

(a)

If X = {a,b,c,d} and Y = {f,b,d,g}, then find 
\(X\cap Y\)

5

(a)

Let A = {1, 2, {3, 4}, 5}. Which of the following statements are incorrect and why?
(i) {3, 4} ⊂ A
(ii) {3, 4} ∈ A
(iii) {{3, 4}} ⊂ A
(iv) 1 ∈ A
(v) 1⊂ A
(vi) {1, 2, 5} ⊂ A
(vii) {1, 2, 5} ∈ A
(viii) {1, 2, 3} ⊂ A
(ix) ¢ ∈ A
(x) ¢⊂ A
(xi) {¢} ⊂ A.

5

(a)

If A = {x: x is a natural number}, B = {x: x is an even natural number}, C = {x: x is an odd natural number} and D = {x : x is a prime number}, find:
(i) A \(\cap\) B
(ii) A \(\cap\) C
(iii) A\(\cap\)D
(iv) B \(\cap\) C
(v) B \(\cap\) D
(vi)C \(\cap\) D

5

(a)

If U = {a, b, c, d, e, i, g, h}, find the complement of the following sets:
(i) A = {a, b, c}
(ii) B = {d, e, f, g}
(iii) C = {a, c, e, g}
(iv) D = {f, g, h, a}

5

(a)

Draw the Venn diagrams to illustrate the following relationship among sets, E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.
Some of the students study Mathematics but do not study English, some study English but do not study Mathematics, and some study both.

5

(a)

Show that for any sets A and B, A = (A \(\cap\) B) \(\cup\) (A-B) and A \(\cup\) (B-A)=(A \(\cup\) B).

5

(a)