The inequality given is:

$y \geq 7$

To graph this inequality:

1. Draw the boundary line

The boundary line is $y = 7$. Since the inequality is $\geq$, the line will be solid, not dotted, because points on the line satisfy the inequality.

• The line $y = 7$ is a horizontal line that crosses the $y$-axis at $y = 7$.

2. Shade the correct region

The inequality $y \geq 7$ means that we include all the points where $y$ is greater than or equal to 7. This is the region above the line $y = 7$.

Steps to Complete the Graph:

1. Plot a horizontal solid line at $y = 7$.
2. Shade the region above the line.

Let me know if you need further clarification or help with this graph!

Related Questions:

1. How do you graph inequalities with a “less than” ($<$) symbol?
2. How does a dotted line differ from a solid line in inequalities?
3. How do you graph vertical boundary lines, like $x \geq -3$?
4. What does shading above or below a line mean in an inequality graph?
5. How can you test a point to determine which region to shade?

Tip: For inequalities, always use a test point (like $(0,0)$) to confirm the correct shaded region.