Question 1: If and are two sets such that then find: (i) (ii)

Answer:

(i) Since , every element of A is in B. Hence is nothing bu .

(ii) Since B contains all the elements of A, the is nothing but

Question 2: If , , and . Find: (i) (ii) (iii) (vi) (v) (vi) (vii) (viii) (ix) (x)

Answer:

Given: , , and

(i)

(ii)

(iii)

(vi)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

Question 3: Let , is a prime natural number Find: (i) (ii) (iii) (iv) (v) (vi)

Answer:

is a prime natural number

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Question 4: Let , and . Find: (i) (ii) (iii) (iv) (v) (vi) (vii) (viii)

Answer:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Question 5: If , , and Find: (i) (ii) (iii) (iv) (v) (vi)

Answer:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Question 6: Let and . Verify that: (i) (ii)

Answer:

(i)

Hence

(ii)

Hence