Question

Write the following sets in the set builder form.
(i) F = {I, N, D, A}
(ii) G = {$-$1, 1}
(iii) H = {3, 9, 27, 81, 343}
(iv) J = {15, 24, 33, 42, 51, 60}
(v) K = $\left\{\frac{1}{2},\frac{2}{5},\frac{3}{10},\frac{4}{17},\frac{5}{26}\right\}$

Answer 1

The set builder forms of the given sets are as follows:

(i) F = { n | n is a letter in the word 'INDIA'}

(ii) G = {p | square of p is 1}

(iii) $\mathrm{H}=\left\{a|a=3^n,n\in N,n\le 5\right\}$

(iv) J = { b | b is a two digit number, the sum of whose digits is 6}

(v) $\mathrm{K}=\left\{x|x={\displaystyle \frac{n}{n^2+1}},n\in N,n\le 5\right\}$