Question

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

36
v
≤ 18
V=2v=9v=1v=6

Answer 1

To solve the inequality \(36 \leq 18v\), we can isolate \(v\):

1. Divide both sides by 18:
\[
\frac{36}{18} \leq v
\]
\[
2 \leq v
\]
or
\[
v \geq 2
\]

Now, we will check the values given: \(v = 2\), \(v = 9\), \(v = 1\), \(v = 6\).

- For \(v = 2\):
\[
2 \geq 2 \quad \text{(True)}
\]
- For \(v = 9\):
\[
9 \geq 2 \quad \text{(True)}
\]
- For \(v = 1\):
\[
1 \geq 2 \quad \text{(False)}
\]
- For \(v = 6\):
\[
6 \geq 2 \quad \text{(True)}
\]

The solutions to the inequality \(36 \leq 18v\) are \(v = 2\), \(v = 9\), and \(v = 6\).

Thus, the correct answers are:
- \(v = 2\)
- \(v = 9\)
- \(v = 6\)