Graph 4<-2x+3<9

$4 < - 2 x + 3 < 9$

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.

$4 - 3 < - 2 x < 9 - 3$

Subtract $3$ from $4$ .

$1 < - 2 x < 9 - 3$

Subtract $3$ from $9$ .

$1 < - 2 x < 6$

Divide each term in the inequality by $- 2$ .

$\frac{1}{- 2} > \frac{- 2 x}{- 2} > \frac{6}{- 2}$

Move the negative in front of the fraction.

$- \frac{1}{2} > \frac{- 2 x}{- 2} > \frac{6}{- 2}$

Cancel the common factor of $- 2$ .

Cancel the common factor.

$- \frac{1}{2} > \frac{- 2 x}{- 2} > \frac{6}{- 2}$

Divide $x$ by $1$ .

$- \frac{1}{2} > x > \frac{6}{- 2}$

Divide $6$ by $- 2$ .

$- \frac{1}{2} > x > - 3$

Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.

$- 3 < x < - \frac{1}{2}$