Final answer:
To solve the inequality 4x - 9 > 23, add 9 to both sides and then divide both sides by 4 to find that x > 8.
Step-by-step explanation:
To solve the inequality 4x - 9 > 23, we need to isolate x.
Step 1: Add 9 to both sides of the inequality: 4x - 9 + 9 > 23 + 9, which simplifies to 4x > 32.
Step 2: Divide both sides of the inequality by 4 to solve for x: (4x)/4 > 32/4, which simplifies to x > 8.
Therefore, the solution to the inequality is x > 8.