Solve the Inequality for g 7(g-19)>=-14

$7 (g - 19) \geq - 14$

Step 1

Divide each term in $7 (g - 19) \geq - 14$ by $7$ and simplify.

Divide each term in $7 (g - 19) \geq - 14$ by $7$ .

$\frac{7 (g - 19)}{7} \geq \frac{- 14}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 (g - 19)}{7} \geq \frac{- 14}{7}$

Divide $g - 19$ by $1$ .

$g - 19 \geq \frac{- 14}{7}$

Simplify the right side.

Divide $- 14$ by $7$ .

$g - 19 \geq - 2$

Step 2

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

Add $19$ to both sides of the inequality.

$g \geq - 2 + 19$

Add $- 2$ and $19$ .

$g \geq 17$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$g \geq 17$

Interval Notation:

$[17, \infty)$