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The given inequality is:

\[
x > \frac{y - 2}{5}
\]

We are tasked with solving for \( y \) in terms of \( x \). Let’s follow the steps to isolate \( y \).

### Steps:

1. **Multiply both sides by 5** to eliminate the denominator:
   \[
   5x > y - 2
   \]

2. **Add 2** to both sides to isolate \( y \):
   \[
   5x + 2 > y
   \]

Thus, the inequality solved for \( y \) is:

\[
y < 5x + 2
\]

Let me know if you'd like further clarification or additional details!

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Here are 5 related questions you might explore:
1. How would the inequality change if the direction of the inequality were reversed?
2. How do we graph the solution \( y < 5x + 2 \) on a coordinate plane?
3. What happens to the inequality if the fraction has a negative denominator?
4. Can you solve the inequality if a constant is added to both sides initially?
5. How do we solve an inequality if both sides contain fractions?

**Tip**: When multiplying or dividing an inequality by a negative number, remember to reverse the inequality sign!

Select the choice that represents the two-variable inequality after it has been solved for y in terms of x.

Learn how to solve the inequality x > (y - 2) / 5 for y in terms of x with step-by-step guidance. Understand the properties of inequalities and the process of isolating variables, suitable for students in Grades 8-10.

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