Question

Solve $-12x>30$, when (i) $x$ is a natural number. (ii) $x$ is an integer

Answer 1

The given inequality is $-12x>30$.
$\Rightarrow \frac{-12x}{-12}<\frac{30}{-12}$ [ Dividing both sides by same negative number]
$\Rightarrow x<-\frac{5}{2}$
(i) There is no natural number less than $(-\frac{5}{2})$
(ii) The integers less than $(-\frac{5}{2})$ are $-\infty ,......,-5,-4,-3.$