Solve the Inequality for w -8<=8w

$- 8 \leq 8 w$

Step 1

Rewrite so $w$ is on the left side of the inequality.

$8 w \geq - 8$

Step 2

Divide each term in $8 w \geq - 8$ by $8$ and simplify.

Divide each term in $8 w \geq - 8$ by $8$ .

$\frac{8 w}{8} \geq \frac{- 8}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 w}{8} \geq \frac{- 8}{8}$

Divide $w$ by $1$ .

$w \geq \frac{- 8}{8}$

Simplify the right side.

Divide $- 8$ by $8$ .

$w \geq - 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$w \geq - 1$

Interval Notation:

$[- 1, \infty)$