Math Problem Statement

whats the answer

Which point is a solution for the system of inequalities shown in the graph below?

Solution

The image shows a graph with a shaded region representing the solution to a system of inequalities. The question asks which point is a solution to the system based on the graph.

By analyzing the graph, we can observe that the shaded region is the solution set. Points within this region satisfy the system of inequalities.

From the given options:

  • Point C (2, 3) lies within the shaded region.

Therefore, the correct answer is C (2, 3), which is marked correctly in the image.

Would you like more details on how to interpret such graphs or the process of solving systems of inequalities?

Here are some related questions:

  1. How do you graph systems of linear inequalities?
  2. How can you determine if a point lies within the solution region of a system of inequalities?
  3. What is the role of boundary lines in graphing inequalities?
  4. How can you solve a system of inequalities algebraically?
  5. How do shading patterns help determine the solution set?

Tip: Always check if the inequality is strict (< or >) or inclusive ( or ). For strict inequalities, points on the boundary line are not included in the solution.

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Math Problem Analysis

Mathematical Concepts

Systems of Inequalities
Graphing
Coordinate Geometry

Formulas

Inequality expressions
Coordinate points in inequalities

Theorems

System of inequalities solution region

Suitable Grade Level

Grades 9-11