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

Question

n ≤-5
n = 10
n = 5
n = -9
n = -11

Answer 1

To determine which of the given values are solutions to the inequality \( n \le -5 \), we need to check each value:

1. \( n = 10 \): This does not satisfy the inequality since \( 10 \) is greater than \(-5\). Not a solution.
2. \( n = 5 \): This also does not satisfy the inequality since \( 5 \) is greater than \(-5\). Not a solution.
3. \( n = -9 \): This satisfies the inequality since \(-9\) is less than \(-5\). Is a solution.
4. \( n = -11 \): This satisfies the inequality since \(-11\) is less than \(-5\). Is a solution.
5. \( n \le -5 \): This holds true by definition for \( n = -5 \), but since we don't have that value in the options, we can skip it.

Thus, the values that are solutions to the inequality \( n \le -5 \) are:

• \( n = -9 \)
• \( n = -11 \)

So the answers are:

• \( n = -9 \)
• \( n = -11 \)