Final answer:
To solve the inequality -4x + 3 < 23, subtract 3 from both sides, then divide both sides by -4. The correct solution is x > -5.
Step-by-step explanation:
Clare made an error when solving -4x + 3 < 23. The correct way to isolate x is to subtract 3 from both sides of the inequality. This gives us -4x < 20.
To solve for x, we need to divide both sides of the inequality by -4. However, Clare made a mistake by dividing only one side. The correct step is to divide both sides of the inequality by -4.
Therefore, the correct solution is x > -5.