Final answer:
To solve the inequality x – 4 > 15.5, add 4 to both sides to get x > 19.5. Comparing the options, only B. X = 21.4 is greater than 19.5, making it the correct solution.
Step-by-step explanation:
To find a solution to the inequality x – 4 > 15.5, we need to solve for x:
- Add 4 to both sides of the inequality: x > 15.5 + 4.
- This simplifies to: x > 19.5.
- Now we compare this result to the given options:
- A. X = 17.3 — This value is not greater than 19.5, so it is not a solution.
- B. X = 21.4 — This value is greater than 19.5, so it is a solution.
- C. X = 15.5 — This value is equal to 15.5, and not greater than 19.5, so it is not a solution.
- D. X = 19.3 — This value is less than 19.5, so it is not a solution.
Therefore, the correct answer is B. X = 21.4, since it is the only value that is greater than 19.5.