Math Problem Statement

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

 

x ≤ 0

x ≥ 0

y ≤ 0

y ≥ 0

Solution

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!


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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Coordinate Plane

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8