State whether each of the following statement is true or false. Justify you answers.

(i) {2, 3, 4, 5} and {3, 6} are disjoint sets.

(ii) {a, e, i, o, u} and {a, b, c, d} are disjoint sets.

(iii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets.

(iv) {2, 6, 10} and {3, 7, 11} are disjoint sets.

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 A B, A C, A D, B C, B D, C D.

If A = {3, 6, 9, 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

(i) A – B (ii) A – C

(iii) A – D (iv) B – A

(v) C – A (vi) D – A

(vii) B – C (viii) B – D

(ix) C – B (x) D – B

Which of the following sets are equal?

(i) A = {x: x is a letter in the word FOLLOW}

(ii) B = {x: x is a letter in the word FLOW}

(iii) C = {x: x is a letter in the word WOLF}

Consider the following the following sets and fill up the blank in the statement given below with = or ≠ so as to make the statement true.

A = {1, 2, 3};

B = {The first three natural numbers};

C = {a, b, c, d};

D = {d, c, a, b}

E = {a, e, i, o, u};

F = {set of vowels in English Alphabet}

(i) A ….. B (ii) A ….. E

(iii) C ….. D (iv) D ….. F

(v) F ….. A (vi) D ….. E

(vii) F ….. B