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

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.

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}

In each of the following, state whether A = B or not.

(i) A = {a, b, c, d}

B = {d, c, a, b}

(ii) A = {4, 8, 12, 16}

B = {8, 4, 16, 18}

(iii) A = {2, 4, 6, 8, 10}

B = {x: x is a positive even integer and x < 10}

(iv)A = {x: x is a multiple of 10}

B = {10, 15, 20, 25, 30, ….}

State the reasons for the following:

(i) {1, 2, 3, …., 10} ≠ {x: x ∈ N and 1 < x < 10}

(ii) {2, 4, 6, 8, 10} ≠ {x: x = 2n + 1 and x ∈ N}

(iii) {5, 15, 30, 45} ≠ {x: x is a multiple of 15}

(iv) {2, 3, 5, 7, 9} ≠ {x: x is a prime number}