Examine whether the following statements are true or false :
$\{ x:x$ is an even natural number less than $6\} \subset \{ x:x$ is a natural mumber which divide $36\} $
True. $\{ x:x$ is an even natural mumber less than $6\} = \{ 2,4\} $
$\{ x:x$ is a natural number which divides $36\} = \{ 1,2,3,4,6,9,12,18,36\} $
Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$1 \in A$
Write the following sets in roster form :
$A = \{ x:x$ is an integer and $ - 3 < x < 7\} $
List all the elements of the following sers :
$B = \{ x:x$ is an integer $; - \frac{1}{2} < n < \frac{9}{2}\} $
Which of the following are sets ? Justify your answer.
The collection of all even integers.