Question

Which of the following are solutions to the inequality below? Select all that apply.

24 >
d
5
D=60d=40d=55d=115

Answer 1

To solve the inequality \( 24 > \frac{d}{5} \), we can first manipulate the inequality to isolate \( d \).

1. Multiply both sides by 5 (since 5 is positive, the direction of the inequality remains the same):
\[
24 \times 5 > d
\]
\[
120 > d
\]
This can also be written as:
\[
d < 120
\]

Now, we can evaluate the given options for \( d \):
- \( d = 60 \) → \( 60 < 120 \) (solution)
- \( d = 40 \) → \( 40 < 120 \) (solution)
- \( d = 55 \) → \( 55 < 120 \) (solution)
- \( d = 115 \) → \( 115 < 120 \) (solution)

All provided values satisfy the inequality \( d < 120 \).

Therefore, all the following values are solutions:
- \( d = 60 \)
- \( d = 40 \)
- \( d = 55 \)
- \( d = 115 \)

All options are correct.