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