Question:
List all the elements of the following sets:
(i) $A=\left\{x: x^{2} \leq 10, x \in Z\right\}$
(ii) $B=\left\{x: x=\frac{1}{2 n-1}, 1 \leq n \leq 5\right\}$
(iii) $C=\left\{x: x\right.$ is an integer, $\left.-\frac{1}{2}
(iv) D = {x : x is a vowel in the word "EQUATION"}
(v) E = {x : x is a month of a year not having 31 days}
(vi) F = {x : x is a letter of the word "MISSISSIPPI"}
Solution:
(i) $A=\{0, \pm 1, \pm 2, \pm 3\}$
(ii) $B=\left\{1, \frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \frac{1}{9}\right\}$
(iii) $C=\{0,1,2,3,4\}$
(iv) $D=\{A, E, I, O, U\}$
(v) $E=\{$ February, April, June, September, November $\}$
(vi) $F=\{M, I, S, P\}$