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The inequality provided is:

\[
\frac{w}{5} - 2 \leq 1.59
\]

To solve for \( w \), follow these steps:

### Step 1: Isolate the term with \( w \)
First, add 2 to both sides of the inequality to eliminate the -2 on the left:

\[
\frac{w}{5} \leq 1.59 + 2
\]

\[
\frac{w}{5} \leq 3.59
\]

### Step 2: Eliminate the fraction
Now, multiply both sides of the inequality by 5 to solve for \( w \):

\[
w \leq 3.59 \times 5
\]

\[
w \leq 17.95
\]

### Final Answer:
\[
w \leq 17.95
\]

Let me know if you'd like any additional details or have any questions!

Here are 5 related questions to explore:

1. How would you graph the solution \( w \leq 17.95 \) on a number line?
2. What happens if the inequality had been \( \geq \) instead of \( \leq \)?
3. How would the inequality change if \( w \) was divided by 3 instead of 5?
4. Can you express the solution in interval notation?
5. How would solving \( \frac{w}{5} - 2 \geq 1.59 \) change the answer?

**Tip:** Always check your final answer by plugging it back into the original inequality to ensure it satisfies the condition!

Learn how to solve the linear inequality (w/5) - 2 ≤ 1.59 step-by-step. This tutorial covers essential algebraic techniques like isolating variables and solving inequalities. Ideal for students in Grades 6-8.

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