Math Problem Statement
Solution
Let's analyze the graph and the provided options to determine which inequality corresponds to the shaded region.
Observations:
- The shaded region is above the line (this line passes through points like and ).
- The shading suggests that the inequality involves because the shading is above the line.
- The shaded region is also constrained horizontally at . The boundary line is a vertical line, and the shading is to the right of it.
Solution:
The inequality that describes this graph is: This matches the third option: .
Final Answer:
The correct choice is .
Would you like me to explain how inequalities are interpreted in graphs or clarify any specific part?
5 Related Questions:
- How do you determine if shading corresponds to or in a graph?
- What does the vertical line represent in terms of inequalities?
- How do you find the equation of a line given two points?
- What happens when two inequalities overlap in a graph?
- How can you test if a point satisfies a given inequality?
Tip:
To confirm a solution, always test a point in the shaded region to see if it satisfies the inequality!
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Math Problem Analysis
Mathematical Concepts
Graphing Inequalities
Linear Equations
Coordinate Geometry
Formulas
Equation of a line: y = mx + b
Inequality forms: y ≥ mx + b or y ≤ mx + b
Theorems
Slope-Intercept Form
Inequalities in Coordinate Geometry
Suitable Grade Level
Grades 8-10
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