Solve: 12x < 50, when

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 $\{1,2,3,4\}$.

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