Solve the Inequality for q 7(q+2)<-77

$7 (q + 2) < - 77$

Divide each term in $7 (q + 2) < - 77$ by $7$ and simplify.

Divide each term in $7 (q + 2) < - 77$ by $7$ .

$\frac{7 (q + 2)}{7} < \frac{- 77}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 (q + 2)}{7} < \frac{- 77}{7}$

Divide $q + 2$ by $1$ .

$q + 2 < \frac{- 77}{7}$

Simplify the right side.

Divide $- 77$ by $7$ .

$q + 2 < - 11$

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

Subtract $2$ from both sides of the inequality.

$q < - 11 - 2$

Subtract $2$ from $- 11$ .

$q < - 13$

The result can be shown in multiple forms.

Inequality Form:

$q < - 13$

Interval Notation:

$(- \infty, - 13)$