Question

List all the elements of the following sets:
$\left(i\right)$ $A=\{x:x\text{is an odd natural number}\}$
$\left(ii\right)$ $B=\{x:x\text{is an integer},-\frac{1}{2}<x<\frac{9}{2}\}$
$\left(iii\right)$ $C=\{x:x\text{is an integer},x^2\le 4\}$
$\left(iv\right)$ $D=\{x:x\text{is a letter in the word}"LOYA{L}^{\prime \prime }\}$
$\left(v\right)$ $E=\{x:x\text{is a month of a year not having}31\text{days}\}$
$\left(vi\right)$ $F=\{x:x\text{is a consonant in the English alphabet which preceeds}k\}$

Answer 1

$\left(i\right)$ Elements of the set $A=\{1,3,5,7,9,...\}$

$\left(ii\right)$Elements of the set $B=\{0,1,2,3,4\}$

$\left(iii\right)$$\because (-2{)}^2=4,(-1{)}^2=1,0^2=0,1^2=1\text{and}{2}^2=4$
So, elements of the set $C=\{-2,-1,0,1,2\}$

$\left(iv\right)$Elements of the set $D=\{L,O,Y,A\}$

$\left(v\right)$ We know that months of a year not having 31 days are
February, April, June, September, November.
$\therefore$ Elements of the set $E=\left\{\text{February, April, June, September, November}\right\}$

$\left(vi\right)$ Elements of the set $F=\{b,c,d,f,g,h,j\}$