Relations And Functions

• Question

# Match the equivalent sets amongst sets (i), (ii), (iii), (iv) with sets (a), (b), (c), (d). (i) (ii)     { x : x is a vowel of English alphabet}(iii)     {x : x N, x is a divisor of 6}(iv)     { x : x N, (x+1) (x-2) = 0}(a)       {q}   (b) {1, 2, 3}     (c)   {x :x is a prime number and x }(d)

Solution

Writing the sets in the tabular form, we have :
(i)  {4, 5, 6}        (ii) {a, i, o, u}    (iii) {1, 2, 3, 6}       (iv)   {23}

(a) = {q}
(b) = {1, 2, 3}
(c) = {2, 3, 5, 7, 11}
(d) = {1, 2, 3, 4}
from above, we have number of elements in (i) is the same as those in (b), similarly, others cna be matched
Hence, (i) ~ b             (ii) ~ (c)             (iii) ~ (d)        (iv) ~ (a)