Solve the Inequality for w -3w-2<-17

$- 3 w - 2 < - 17$

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

Add $2$ to both sides of the inequality.

$- 3 w < - 17 + 2$

Add $- 17$ and $2$ .

$- 3 w < - 15$

Divide each term in $- 3 w < - 15$ by $- 3$ and simplify.

Divide each term in $- 3 w < - 15$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 w}{- 3} > \frac{- 15}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 w}{- 3} > \frac{- 15}{- 3}$

Divide $w$ by $1$ .

$w > \frac{- 15}{- 3}$

Simplify the right side.

Divide $- 15$ by $- 3$ .

$w > 5$

The result can be shown in multiple forms.

Inequality Form:

$w > 5$

Interval Notation:

$(5, \infty)$

Solve the Inequality for w -3w-2<-17

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