Math Problem Statement
Slice Name Equations and Inequalities Topic Name Writing a compound inequality given a graph on the number line
Solution
In the given graph, two points are marked on the number line at -3 and 3. Both of these points have filled circles, meaning that the values -3 and 3 are included in the inequality. The shaded portion of the graph appears to cover the range between -3 and 3, indicating that the inequality is bounded between these two points.
The compound inequality is:
This inequality states that is greater than or equal to -3 and less than or equal to 3.
Would you like further details or have any questions on this topic?
Here are 5 related questions to further your understanding:
- What is the difference between "and" and "or" in compound inequalities?
- How do we represent open and closed intervals on a number line?
- Can compound inequalities involve more than two conditions?
- How do we solve compound inequalities involving variables on both sides?
- What is the relationship between compound inequalities and absolute value inequalities?
Tip: When you see filled circles on a number line, it indicates that the endpoints are included in the inequality (represented by "≤" or "≥").
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Math Problem Analysis
Mathematical Concepts
Compound Inequality
Number Line
Algebra
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8