Question

Solve for $x$ : $-\frac{x}{5}>-2$

$x<$

Answer 1

$-\frac{x}{5}>-2$

Step 1: Multiply both side of the inequality by $-1$. This will reverse the sign of the inequality.

$(-1)\times (-\frac{x}{5})<(-1)\times (-2)$
$\Rightarrow \frac{x}{5}<2$

Step 2: Now, multiply both side of the equation by $5$.
$\Rightarrow 5\times \frac{x}{5}<5\times 2$
​​​​​​​$\Rightarrow x<10$