Final answer:
To solve the inequality 4x - 9 ≥ 23, you add 9 to both sides, giving 4x ≥ 32, and then divide by 4 to find that x must be greater than or equal to 8.
Step-by-step explanation:
To solve the inequality 4x - 9 ≥ 23, follow these steps:
- Add 9 to both sides of the inequality to isolate the term with the variable on one side: 4x ≥ 32.
- Divide both sides by 4 to solve for x: x ≥ 8.
This means that x must be greater than or equal to 8 in order to satisfy the inequality 4x - 9 ≥ 23.