What universal set $(s)$ would you propose for each of the following :
The set of right triangles
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\,\} $
How many elements has $P(A),$ if $A=\varnothing ?$
Which of the following are sets ? Justify your answer.
The collection of ten most talented writers of India.
In the following state whether $A=B$ or not :
$A=\{4,8,12,16\} ; B=\{8,4,16,18\}$