Question

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

17 ≤
k
+ 9
K=10k=7k=9k=1

Answer 1

To solve the inequality \( 17 \leq k + 9 \), first, we can rearrange it:

1. Subtract 9 from both sides:
\[
17 - 9 \leq k
\]
which simplifies to
\[
8 \leq k
\]
or
\[
k \geq 8.
\]

Now let's evaluate each value given:

- For \( k = 10 \):
\[
10 \geq 8 \quad \text{(True)}
\]

- For \( k = 7 \):
\[
7 \geq 8 \quad \text{(False)}
\]

- For \( k = 9 \):
\[
9 \geq 8 \quad \text{(True)}
\]

- For \( k = 1 \):
\[
1 \geq 8 \quad \text{(False)}
\]

Thus, the solutions to the inequality \( 17 \leq k + 9 \) are \( k = 10 \) and \( k = 9 \).

The values that are solutions are: **k = 10 and k = 9**.