Solve for w 8w+8>=-10w-5

$8 w + 8 \geq - 10 w - 5$

Step 1

Move all terms containing $w$ to the left side of the inequality.

Add $10 w$ to both sides of the inequality.

$8 w + 8 + 10 w \geq - 5$

Add $8 w$ and $10 w$ .

$18 w + 8 \geq - 5$

Step 2

Move all terms not containing $w$ to the right side of the inequality.

Subtract $8$ from both sides of the inequality.

$18 w \geq - 5 - 8$

Subtract $8$ from $- 5$ .

$18 w \geq - 13$

Step 3

Divide each term in $18 w \geq - 13$ by $18$ and simplify.

Divide each term in $18 w \geq - 13$ by $18$ .

$\frac{18 w}{18} \geq \frac{- 13}{18}$

Simplify the left side.

Cancel the common factor of $18$ .

Cancel the common factor.

$\frac{18 w}{18} \geq \frac{- 13}{18}$

Divide $w$ by $1$ .

$w \geq \frac{- 13}{18}$

Simplify the right side.

Move the negative in front of the fraction.

$w \geq - \frac{13}{18}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$w \geq - \frac{13}{18}$

Interval Notation:

$[- \frac{13}{18}, \infty)$