Solve for x -12>=-3x-9>12

$- 12 \geq - 3 x - 9 > 12$

Move all terms not containing $x$ from the center section of the inequality.

Add $9$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 12 + 9 \geq - 3 x > 12 + 9$

Add $- 12$ and $9$ .

$- 3 \geq - 3 x > 12 + 9$

Add $12$ and $9$ .

$- 3 \geq - 3 x > 21$

Divide each term in the inequality by $- 3$ .

$\frac{- 3}{- 3} \leq \frac{- 3 x}{- 3} < \frac{21}{- 3}$

Divide $- 3$ by $- 3$ .

$1 \leq \frac{- 3 x}{- 3} < \frac{21}{- 3}$

Cancel the common factor of $- 3$ .

Cancel the common factor.

$1 \leq \frac{- 3 x}{- 3} < \frac{21}{- 3}$

Divide $x$ by $1$ .

$1 \leq x < \frac{21}{- 3}$

Divide $21$ by $- 3$ .

$1 \leq x < - 7$

Since the inequality can never be true, there is no solution.

False