Question
Solve : $-5(x+4)>30 ; x \in Z$
✓
Answer
$-5(x+4)>30$
$ \Rightarrow \frac{-5(x+4)}{-5}<\frac{30}{-5} \ldots ($Dividing by $-5)$
Note: Division by a negative number reverses the equality.
$\Rightarrow x+4<-6$
$\Rightarrow x+4-4<-6-4 \ldots ($Subtracting $4)$
$\Rightarrow \mathrm{x}<-10$
$\therefore$ Required answer $=\{-11,-12,-13, \ldots\}$
$ \Rightarrow \frac{-5(x+4)}{-5}<\frac{30}{-5} \ldots ($Dividing by $-5)$
Note: Division by a negative number reverses the equality.
$\Rightarrow x+4<-6$
$\Rightarrow x+4-4<-6-4 \ldots ($Subtracting $4)$
$\Rightarrow \mathrm{x}<-10$
$\therefore$ Required answer $=\{-11,-12,-13, \ldots\}$
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