Solve the Inequality for w -2w<-18

$- 2 w < - 18$

Step 1

Divide each term in $- 2 w < - 18$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 w}{- 2} > \frac{- 18}{- 2}$

Step 2

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 w}{- 2} > \frac{- 18}{- 2}$

Divide $w$ by $1$ .

$w > \frac{- 18}{- 2}$

Step 3

Simplify the right side.

Divide $- 18$ by $- 2$ .

$w > 9$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$w > 9$

Interval Notation:

$(9, \infty)$

Solve the Inequality for w -2w<-18

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