Question

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

1 ≤
10 +
u


u = -4
u = -11
u = -5
u = -1

Answer 1

To solve the inequality \( 1 \leq 10 + u \), we can first isolate \( u \).

Starting from the inequality:

\[
1 \leq 10 + u
\]

Subtract 10 from both sides:

\[
1 - 10 \leq u
\]

This simplifies to:

\[
-9 \leq u
\]

or equivalently:

\[
u \geq -9
\]

Now, we need to check which of the given values satisfy \( u \geq -9 \):

1. **For \( u = -4 \)**:
\(-4 \geq -9\) (True)

2. **For \( u = -11 \)**:
\(-11 \geq -9\) (False)

3. **For \( u = -5 \)**:
\(-5 \geq -9\) (True)

4. **For \( u = -1 \)**:
\(-1 \geq -9\) (True)

Thus, the solutions that satisfy the inequality are:

- \( u = -4 \)
- \( u = -5 \)
- \( u = -1 \)

So the correct answers are:

- \( u = -4 \)
- \( u = -5 \)
- \( u = -1 \)