List all the elements of the following sers :
$D = \{ x:x$ is a letter in the word $"\mathrm{LOYAL}" $ $\} $
State whether each of the following set is finite or infinite :
The set of letters in the English alphabet
Find the pairs of equal sets, if any, give reasons:
$A = \{ 0\} ,$
$B = \{ x:x\, > \,15$ and $x\, < \,5\} $
$C = \{ x:x - 5 = 0\} ,$
$D = \left\{ {x:{x^2} = 25} \right\}$
$E = \{ \,x:x$ is an integral positive root of the equation ${x^2} - 2x - 15 = 0\,\} $
Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:
$ 0\, ........\, A $
State whether each of the following set is finite or infinite :
The set of circles passing through the origin $(0,0)$