Question

Select the values of q below that would make the inequality true. Select all that apply.
2q+11 < 23
q < 6

q = 4

q = 5

q = 6

q = 7

q = 8

q = 10

Answer 1

To determine which values of \( q \) satisfy the inequality \( 2q + 11 < 23 \), we can start by solving the inequality:

1. Subtract 11 from both sides:
\[
2q < 23 - 11
\]
\[
2q < 12
\]

2. Divide both sides by 2:
\[
q < 6
\]

Now, we want to find all values of \( q \) from the provided options that are less than 6. The options given are:

- \( q = 4 \)
- \( q = 5 \)
- \( q = 6 \)
- \( q = 7 \)
- \( q = 8 \)
- \( q = 10 \)

The values that satisfy \( q < 6 \) are:

- \( q = 4 \) (true)
- \( q = 5 \) (true)
- \( q = 6 \) (false)
- \( q = 7 \) (false)
- \( q = 8 \) (false)
- \( q = 10 \) (false)

Thus, the values of \( q \) that satisfy the inequality \( 2q + 11 < 23 \) are \( q = 4 \) and \( q = 5 \).

**Final Selection:**
- \( q = 4 \)
- \( q = 5 \)