Question

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

k< –1

k = -5
k = -4
k= -8
k= -7

Answer 1

To determine which of the provided values satisfy the inequality \( k < -1 \), we need to evaluate each option:

1. \( k = -5 \) → This satisfies the inequality because \(-5 < -1\).
2. \( k = -4 \) → This does not satisfy the inequality because \(-4 \not< -1\).
3. \( k = -8 \) → This satisfies the inequality because \(-8 < -1\).
4. \( k = -7 \) → This satisfies the inequality because \(-7 < -1\).

Therefore, the solutions to the inequality \( k < -1 \) are:
- \( k = -5 \)
- \( k = -8 \)
- \( k = -7 \)

So, the valid solutions are:
**\( k = -5 \), \( k = -8 \), and \( k = -7 \)**.