Math Problem Statement
Solution
The inequality you need to graph is:
This inequality represents all points on the coordinate plane where the value of is greater than or equal to .
Steps to graph this:
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Draw the boundary line: The boundary for this inequality is the horizontal line . Since the inequality includes (greater than or equal to), the line will be solid to indicate that points on the line are included in the solution.
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Shade the solution region: The inequality specifies , meaning the solution is all the points where is greater than or equal to . Thus, you'll shade the area above the line, including the line itself.
Graph description:
- The line is horizontal and runs parallel to the x-axis at .
- The shaded region will be above this line, including the line itself.
Would you like me to generate a visualization of this graph?
Related questions:
- How would the graph change if the inequality was ?
- What happens if the inequality is ?
- How do you determine whether to use a solid or dashed line in an inequality graph?
- How can you test if a point satisfies the inequality ?
- What would be the solution if the inequality was ?
Tip:
Always pay attention to the direction of the inequality symbol to know whether to shade above or below the line.
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Math Problem Analysis
Mathematical Concepts
Inequalities
Coordinate Geometry
Formulas
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Theorems
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Suitable Grade Level
Grades 7-10