Solve the Inequality for g 7>=12-g

$7 \geq 12 - g$

Rewrite so $g$ is on the left side of the inequality.

$12 - g \leq 7$

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

Subtract $12$ from both sides of the inequality.

$- g \leq 7 - 12$

Subtract $12$ from $7$ .

$- g \leq - 5$

Divide each term in $- g \leq - 5$ by $- 1$ and simplify.

Divide each term in $- g \leq - 5$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- g}{- 1} \geq \frac{- 5}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{g}{1} \geq \frac{- 5}{- 1}$

Divide $g$ by $1$ .

$g \geq \frac{- 5}{- 1}$

Simplify the right side.

Divide $- 5$ by $- 1$ .

$g \geq 5$

The result can be shown in multiple forms.

Inequality Form:

$g \geq 5$

Interval Notation:

$[5, \infty)$

Solve the Inequality for g 7>=12-g

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