Question 18

9/2 is the greatest value among the options provided.

The value of 9/2, or 4.5, is greater than all the other options listed, making it the highest value in comparison.

A) 4.25

4.25 is less than 4.5, which is the value of 9/2. Therefore, this option cannot be the greatest value among the choices.

B) 4.4

4.4 is also less than 4.5, which disqualifies it from being the greatest value. It is still lower than the value represented by 9/2.

C) {10/3}

10/3 equals approximately 3.33, which is significantly less than 4.5. Thus, this option is not the greatest value among the choices.

D) {9/2}

9/2 equals 4.5, which is greater than all other options provided. This makes it the correct answer as the greatest value.

Conclusion

The value of 9/2 (4.5) surpasses all other options, confirming it as the greatest value. The other options, 4.25, 4.4, and 10/3, are all lesser than 4.5, thus reinforcing that D is the definitive correct answer.