Write the following sets in roster form :
$D = \{ x:x$ is a prime number which is divisor of $60\} $
$D = \{ x:x$ is a prime number which is divisor of $60\} $
$2$ | $60$ |
$2$ | $30$ |
$3$ | $15$ |
$5$ |
$\therefore 60=2 \times 2 \times 3 \times 5$
The elements of this set are $2,3$ and $5$ only.
Therefore, this set can be written in roster form as $D=\{2,3,5\}$
Let $S = \{ 0,\,1,\,5,\,4,\,7\} $. Then the total number of subsets of $S$ is
Write the following intervals in set-builder form :
$\left( { - 3,0} \right)$
Write the following sets in the set-builder form :
${\rm{\{ 5,25,125,625\} }}$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{\varnothing\} \subset A$
The number of proper subsets of the set $\{1, 2, 3\}$ is