Solve the Inequality for x -3>=2x+3>7

$- 3 \geq 2 x + 3 > 7$

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

Subtract $3$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 3 - 3 \geq 2 x > 7 - 3$

Subtract $3$ from $- 3$ .

$- 6 \geq 2 x > 7 - 3$

Subtract $3$ from $7$ .

$- 6 \geq 2 x > 4$

Divide each term in the inequality by $2$ .

$\frac{- 6}{2} \geq \frac{2 x}{2} > \frac{4}{2}$

Divide $- 6$ by $2$ .

$- 3 \geq \frac{2 x}{2} > \frac{4}{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$- 3 \geq \frac{2 x}{2} > \frac{4}{2}$

Divide $x$ by $1$ .

$- 3 \geq x > \frac{4}{2}$

Divide $4$ by $2$ .

$- 3 \geq x > 2$

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

False