Final answer:
In order to solve the inequality 9 ≤ -4y + 5 < 13, subtract 5 and divide by -4, reversing the inequality signs to get -2 < y ≤ -1.
Step-by-step explanation:
The given inequality is 9 ≤ -4y + 5 < 13. To solve this, we need to isolate the variable y on one side of the inequality. Here's how to do it step by step:
- First, subtract 5 from all three parts of the inequality to make it 4 ≤ -4y < 8.
- Then, divide each part of the inequality by -4, remembering to reverse the inequality signs because we're dividing by a negative number, resulting in -1 ≥ y > -2.
- After solving, we find that -2 < y ≤ -1 is the solution to the inequality.