Solve the Inequality for s s/-6>-16

$\frac{s}{- 6} > - 16$

Multiply both sides by $- 6$ .

$\frac{s}{- 6} \cdot - 6 < - 16 \cdot - 6$

Simplify.

Simplify the left side.

Simplify $\frac{s}{- 6} \cdot - 6$ .

Cancel the common factor of $6$ .

Factor $6$ out of $- 6$ .

$\frac{s}{6 (- 1)} \cdot - 6 < - 16 \cdot - 6$

Factor $6$ out of $- 6$ .

$\frac{s}{6 \cdot - 1} \cdot (6 \cdot - 1) < - 16 \cdot - 6$

Cancel the common factor.

$\frac{s}{6 \cdot - 1} \cdot (6 \cdot - 1) < - 16 \cdot - 6$

Rewrite the expression.

$\frac{s}{- 1} \cdot - 1 < - 16 \cdot - 6$

Combine $\frac{s}{- 1}$ and $- 1$ .

$\frac{s \cdot - 1}{- 1} < - 16 \cdot - 6$

Simplify the expression.

Move the negative one from the denominator of $\frac{s \cdot - 1}{- 1}$ .

$- 1 \cdot (s \cdot - 1) < - 16 \cdot - 6$

Rewrite $- 1 \cdot (s \cdot - 1)$ as $- (s \cdot - 1)$ .

$- (s \cdot - 1) < - 16 \cdot - 6$

Move $- 1$ to the left of $s$ .

$- (- 1 \cdot s) < - 16 \cdot - 6$

Rewrite $- 1 s$ as $- s$ .

$- - s < - 16 \cdot - 6$

Multiply $- - s$ .

Multiply $- 1$ by $- 1$ .

$1 s < - 16 \cdot - 6$

Multiply $s$ by $1$ .

$s < - 16 \cdot - 6$

Simplify the right side.

Multiply $- 16$ by $- 6$ .

$s < 96$

The result can be shown in multiple forms.

Inequality Form:

$s < 96$

Interval Notation:

$(- \infty, 96)$