The set $A = \{ x:x \in R,\,{x^2} = 16$ and $2x = 6\} $ equals
Write the following sets in the set-builder form :
$\{ 2,4,6 \ldots \} $
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\,\} $
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \in B,$ then $x \in B$
Write the following intervals in set-builder form :
$\left[ {6,12} \right]$