To determine which graph matches the inequality \( r \geq -6 \), follow these guidelines:
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Identify the boundary: The boundary line for the inequality is \( r = -6 \). This is a vertical line at \( x = -6 \).
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Type of boundary line: Since the inequality includes \( \geq \), the line should be solid, indicating that points on the line are included in the solution set.
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Shading direction: Since the inequality is \( r \geq -6 \), you will shade to the right of the line (where \( r \) values are greater than -6).
When looking for the correct graph, make sure it has:
- A solid vertical line at \( r = -6 \).
- Shading to the right of that line.
If you can identify a graph with these characteristics, then that graph represents the inequality \( r \geq -6 \).