https://file.aiquickdraw.com/mathbot/file/1726800158424ari1xi4e.jpg

To solve the inequality problem shown in the image, we start with the given inequality:

\[
\frac{k}{4} \leq 2
\]

### Step 1: Solve for \( k \)
To isolate \( k \), multiply both sides of the inequality by 4:

\[
k \leq 2 \times 4
\]

\[
k \leq 8
\]

So, the equivalent inequality is \( k \leq 8 \).

### Step 2: Identify the values that satisfy \( k \leq 8 \)
Looking at the given options:

\[
0, 4, 5, 7, 8, 9, 11, 12, 16
\]

The numbers that satisfy \( k \leq 8 \) are:

\[
0, 4, 5, 7, 8
\]

So, the correct values are **0, 4, 5, 7, 8**.

### Equivalent inequality: \( k \leq 8 \)

Let me know if you'd like further explanation or details! Here are some follow-up questions:

1. How do we handle inequalities when multiplying or dividing by negative numbers?
2. How would the solution change if the inequality was \( k/4 \geq 2 \)?
3. What happens if there’s an absolute value in the inequality?
4. How can we check the solution to ensure correctness?
5. Can you graph the solution for \( k \leq 8 \) on a number line?

**Tip:** When solving inequalities, always double-check if the direction of the inequality changes (this happens when multiplying or dividing by a negative number).

Select the values that make the inequality k/4 ≤ 2 true. Then write an equivalent inequality, in terms of k.

Learn how to solve the inequality k/4 ≤ 2. Understand how to isolate k and identify the values that satisfy the inequality, including options like 0, 4, 5, 7, and 8.

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