Answer:
1 > x > -3
Explanation:
To solve the inequality 4 < -2x + 3 < 9,
4 < -2x + 3 < 9
-3 -3 -3
1 < -2x < 6
Next, we can divide all parts of the inequality by -2, but we need to flip the direction of the inequality signs since we are dividing by a negative number:
1 > x > -3
Therefore, the solution to the inequality 4 < -2x + 3 < 9 is 1 > x > -3. We can also write this as an interval: (-3, 1).
I hope that helps, if not I am truly sorry.