Solve the Inequality for w 7w>-49

$7 w > - 49$

Step 1

Divide each term in $7 w > - 49$ by $7$ .

$\frac{7 w}{7} > \frac{- 49}{7}$

Step 2

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 w}{7} > \frac{- 49}{7}$

Divide $w$ by $1$ .

$w > \frac{- 49}{7}$

$w > \frac{- 49}{7}$

$w > \frac{- 49}{7}$

Step 3

Simplify the right side.

Divide $- 49$ by $7$ .

$w > - 7$

$w > - 7$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$w > - 7$

Interval Notation:

$(- 7, \infty)$

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