Question

which of the following are solutions to the inequality below? select all that apply.
-9 < u
u = -11
u = -3
u = -10
u = -1

Explanation:

To determine which values of \( u \) satisfy the inequality \( -9 < u \), we check each given value:

For \( u = -11 \):

We compare \( -9 \) and \( -11 \). On the number line, \( -11 \) is to the left of \( -9 \), so \( -9 < -11 \) is false. Thus, \( u = -11 \) is not a solution.

For \( u = -3 \):

We compare \( -9 \) and \( -3 \). On the number line, \( -3 \) is to the right of \( -9 \), so \( -9 < -3 \) is true. Thus, \( u = -3 \) is a solution.

For \( u = -10 \):

We compare \( -9 \) and \( -10 \). On the number line, \( -10 \) is to the left of \( -9 \), so \( -9 < -10 \) is false. Thus, \( u = -10 \) is not a solution.

For \( u = -1 \):

We compare \( -9 \) and \( -1 \). On the number line, \( -1 \) is to the right of \( -9 \), so \( -9 < -1 \) is true. Thus, \( u = -1 \) is a solution.

So the correct solutions are \( u = -3 \) and \( u = -1 \).

Answer:

B. \( u = -3 \)
D. \( u = -1 \)

(Note: Assuming the options are labeled as A: \( u = -11 \), B: \( u = -3 \), C: \( u = -10 \), D: \( u = -1 \))