\( 1 \leftarrow \quad \) Graph the inequality on a number line. \[ x \geq-3 \]

To graph the inequality \( x \geq -3 \) on a number line, follow these steps: 1. **Identify the boundary point**: The boundary point is \( -3 \). Since the inequality is \( \geq \), this point will be included in the solution set. 2. **Draw the number line**: Create a horizontal line and mark points on it, including \( -3 \). 3. **Mark the boundary point**: Since \( -3 \) is included in the solution (due to the \( \geq \)), we will use a closed dot (or filled circle) at \( -3 \). 4. **Shade the appropriate region**: Since the inequality states \( x \) is greater than or equal to \( -3 \), shade the region to the right of \( -3 \) to indicate all numbers greater than \( -3 \). Now, let's visualize this on a number line. - The closed dot at \( -3 \) indicates that \( -3 \) is part of the solution. - The shading to the right indicates all values greater than \( -3 \). This is how the graph of the inequality \( x \geq -3 \) looks on a number line: ``` <---|---|---|---|---|---|---|---|---|---|---|---|---> -5 -4 -3 -2 -1 0 1 2 3 4 5 ●========================> ``` In this representation: - The dot at \( -3 \) is closed (●), indicating that \( -3 \) is included in the solution. - The arrow to the right indicates that all numbers greater than \( -3 \) are included in the solution set.