(i) $A=\{x: x$ is an odd natural number $\}$
(ii) $B=\left\{x: x\right.$ is an integer, $\left.-\frac{1}{2} (iii) $C=\left\{x: x\right.$ is an integer, $\left.x^{2} \leq 4\right\}$ (iv) $D=\{x: x$ is a letter in the word "LOYAL" $\}$ (v) $E=\{x: x$ is a month of a year not having 31 days $\}$ (vi) $\mathrm{F}=\{x: x$ is a consonant in the English alphabet which proceeds $k\}$.
(i) $A=\{x: x$ is an odd natural number $\}=\{1,3,5,7,9 \ldots\}$
(ii) $\mathrm{B}=\left\{x: x\right.$ is an integer; $\left.-\frac{1}{2} It can be seen that $-\frac{1}{2}=-0.5$ and $\frac{9}{2}=4.5$ $\therefore B=\{0,1,2,3,4\}$ (iii) $C=\left\{x: x\right.$ is an integer; $\left.x^{2} \leq 4\right\}$ It can be seen that $(-1)^{2}=1 \leq 4 ;(-2)^{2}=4 \leq 4 ;(-3)^{2}=9>4$ $0^{2}=0 \leq 4$ $1^{2}=1 \leq 4$ $2^{2}=4 \leq 4$ $3^{2}=9>4$ $\therefore C=\{-2,-1,0,1,2\}$ (iv) $D=(x: x$ is a letter in the word "LOYAL" $)=\{L, O, Y, A\}$ (v) $E=\{x: x$ is a month of a year not having 31 days $\}$ $=\{$ February, April, June, September, November $\}$ (vi) $F=\{x: x$ is a consonant in the English alphabet which precedes $k\}$ $=\{b, c, d, f, g, h, j\}$