Question:
Solve: 12x < 50, when
(i) x ∈ R
(ii) x ∈ Z
(iii) x ∈ N
Solution:
We have, $12 x<50$
$\Rightarrow x<\frac{50}{12}$ [Dividing both the sides by 12]
$\Rightarrow x<\frac{25}{6}$
(i) $x \in R$
Then, the solution of the given inequation is $\left(-\infty, \frac{25}{6}\right)$.
(ii) $x \in Z$
Then, the solution of the given inequation is $\{\ldots \ldots \ldots-3,-2,-1,0,1,2,3,4\}$.
(iii) $x \in N$
Then, the solution of the given inequation is $\{1,2,3,4\}$.