Question

Total number of elements in this set :{$x$ : $3x-2\le 10$ and $xϵN$} are :

Answer 1

Given, $x$ is a natural number
Also, $3x-2\le 10$

$\Rightarrow 3x\le 12$

$\Rightarrow x\le 4$
For $x=5,\mathrm{6...}$ the value will be more than $10$
Thus, $x=1,2,3,4$
Hence, elements of the set are $\{1,2,3,4\}$.

Therefore total number of elements are $4$.