Solve for s s/-8>=11

$\frac{s}{- 8} \geq 11$

Step 1

Multiply both sides by $- 8$ .

$\frac{s}{- 8} \cdot - 8 \leq 11 \cdot - 8$

Step 2

Simplify.

Simplify the left side.

Simplify $\frac{s}{- 8} \cdot - 8$ .

Cancel the common factor of $8$ .

Factor $8$ out of $- 8$ .

$\frac{s}{8 (- 1)} \cdot - 8 \leq 11 \cdot - 8$

Factor $8$ out of $- 8$ .

$\frac{s}{8 \cdot - 1} \cdot (8 \cdot - 1) \leq 11 \cdot - 8$

Cancel the common factor.

$\frac{s}{8 \cdot - 1} \cdot (8 \cdot - 1) \leq 11 \cdot - 8$

Rewrite the expression.

$\frac{s}{- 1} \cdot - 1 \leq 11 \cdot - 8$

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

$\frac{s \cdot - 1}{- 1} \leq 11 \cdot - 8$

Simplify the expression.

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

$- 1 \cdot (s \cdot - 1) \leq 11 \cdot - 8$

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

$- (s \cdot - 1) \leq 11 \cdot - 8$

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

$- (- 1 \cdot s) \leq 11 \cdot - 8$

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

$- - s \leq 11 \cdot - 8$

Multiply $- - s$ .

Multiply $- 1$ by $- 1$ .

$1 s \leq 11 \cdot - 8$

Multiply $s$ by $1$ .

$s \leq 11 \cdot - 8$

Simplify the right side.

Multiply $11$ by $- 8$ .

$s \leq - 88$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$s \leq - 88$

Interval Notation:

$(- \infty, - 88]$