Which of the following inequalities matches the graph? (1 point)

 

x ≤ 0

x ≥ 0

y ≤ 0

y ≥ 0

To determine which inequality matches the graph, let's go over each option:

1. **x ≤ 0**: This inequality represents all points where the x-coordinate is less than or equal to zero. In other words, the shaded region would be on the **left side** of the y-axis (including the y-axis).

2. **x ≥ 0**: This inequality represents all points where the x-coordinate is greater than or equal to zero. The shaded region would be on the **right side** of the y-axis (including the y-axis).

3. **y ≤ 0**: This inequality represents all points where the y-coordinate is less than or equal to zero. The shaded region would be **below** the x-axis (including the x-axis).

4. **y ≥ 0**: This inequality represents all points where the y-coordinate is greater than or equal to zero. The shaded region would be **above** the x-axis (including the x-axis).

Without the graph, I cannot determine the answer for you. However, if you look at where the shaded region is in relation to the axes, you can match it to one of these inequalities.

Would you like help analyzing a specific graph? Feel free to upload it if needed!

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Here are some follow-up questions:
1. Does the shaded region in the graph include any axis?
2. Is the shading above or below the x-axis?
3. Is the shading to the left or right of the y-axis?
4. Does the graph include boundary lines?
5. Is the inequality strict or inclusive (≤ or ≥)?

**Tip:** Always look at the axis being shaded to determine if you're dealing with an x or y inequality.

Which of the following inequalities matches the graph? (1 point)

x ≤ 0
x ≥ 0
y ≤ 0
y ≥ 0

Learn how to determine which inequality matches a graph on the coordinate plane. This problem covers key concepts of algebra and inequalities. Explore inequalities like x ≤ 0, x ≥ 0, y ≤ 0, and y ≥ 0 to analyze shaded regions in relation to the x-axis and y-axis. Suitable for students in Grades 6-8.

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