The given equation is \( y = 5x - 5 \), and we are also told that \( y \) is at least 4, meaning \( y \geq 4 \). Let's solve this inequality to find the values of \( x \) for which this condition holds.

### Step 1: Set up the inequality
\[
5x - 5 \geq 4
\]

### Step 2: Add 5 to both sides to isolate the term with \( x \):
\[
5x \geq 9
\]

### Step 3: Divide both sides by 5:
\[
x \geq \frac{9}{5}
\]

### Solution:
The solution is \( x \geq \frac{9}{5} \), or \( x \geq 1.8 \). This means that for \( y \) to be at least 4, \( x \) must be greater than or equal to 1.8.

Would you like more details or any clarifications on this?

Here are 5 related questions to consider:
1. What happens to \( y \) as \( x \) increases indefinitely?
2. What is the value of \( y \) when \( x = 2 \)?
3. How would the solution change if the inequality was \( y > 4 \)?
4. Can you graph the line \( y = 5x - 5 \) and shade the region where \( y \geq 4 \)?
5. How do you interpret the slope and intercept of the equation \( y = 5x - 5 \)?

**Tip:** Inequalities can often be solved by treating them like equations but being careful with operations that reverse inequality signs, such as multiplying or dividing by a negative number.

Explore how to solve the linear equation y = 5x - 5 with the condition that y is at least 4. This problem highlights key algebraic concepts, including linear equations and inequality solving, suitable for Grades 8-10 students.

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