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\} $

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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\} $

Similar Questions

Examine whether the following statements are true or false :

$\{a\} \subset\{a, b, c\}$

Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:

$10 \, .........\, A $

For an integer $n$ let $S_n=\{n+1, n+2, \ldots \ldots, n+18\}$. Which of the following is true for all $n \geq 10$ ?

  • [KVPY 2013]

State which of the following sets are finite or infinite :

$\{ x:x \in N$ and $x$ is prime $\} $

List all the elements of the following sers :

$A = \{ x:x$ is an odd natural number $\} $