To solve the inequality $y_1 - y_2 \geq 0$, we need to determine the region where $y_1 \geq y_2$ using the given graph.

Step 1: Identify the Lines

From the graph:

• The red line represents $y_2$.
• The blue line represents $y_1$.

Step 2: Find the Regions

The inequality $y_1 - y_2 \geq 0$ simplifies to $y_1 \geq y_2$, meaning we need the $x$-values where the blue line is above or equal to the red line.

Observing the graph:

• The two lines intersect at $x = 2$.
• For $x \leq 2$, $y_1 \geq y_2$.
• For $x > 2$, $y_1 < y_2$.

Step 3: Write the Solution in Interval Notation

Since we include the point $x = 2$, the solution set is: $(-\infty, 2]$

Would you like more details or a step-by-step explanation?

Here are five related questions you might find useful:

1. How do you determine where one function is greater than another using a graph?
2. How do you express an inequality solution in interval notation?
3. What does it mean graphically when two functions are equal?
4. How can you verify a solution algebraically rather than graphically?
5. How do you solve similar inequalities for quadratic or exponential functions?

Tip: Always check intersection points when solving inequalities involving two functions.