Question

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

1 ≥
8
d
D=1d=2d=4d=8

Answer 1

To solve the inequality \( 1 \geq 8d \), we can manipulate it to find the values of \( d \).

1. Start with the inequality:
\[
1 \geq 8d
\]

2. Rearrange the inequality:
\[
8d \leq 1
\]

3. Divide both sides by 8:
\[
d \leq \frac{1}{8}
\]

Now we need to determine which of the given options \( d = 1, d = 2, d = 4, d = 8 \) are less than or equal to \( \frac{1}{8} \).

- \( d = 1 \): This is not a solution because \( 1 > \frac{1}{8} \).
- \( d = 2 \): This is not a solution because \( 2 > \frac{1}{8} \).
- \( d = 4 \): This is not a solution because \( 4 > \frac{1}{8} \).
- \( d = 8 \): This is not a solution because \( 8 > \frac{1}{8} \).

None of the provided options satisfy the inequality \( 1 \geq 8d \). Thus, the solutions are:

**None of the provided options are solutions.**