Math Problem Statement
shade the values of x on the number line that makes the inqualitiy true. x < -2 or x >6
Solution
To shade the values of on the number line that satisfy the inequality or :
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Interpret the inequality:
- : Values less than .
- : Values greater than .
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Graphical representation:
- Shade all points to the left of on the number line (not including ).
- Shade all points to the right of on the number line (not including ).
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Open circles: Since the inequality is strict ( or ), use open circles at and to indicate these points are not included.
Let me draw or describe this more clearly, or you can upload an image for verification. Would you like a diagram?
Relative Questions:
- What is the difference between "or" and "and" in inequalities?
- How would the graph look if the inequality was ?
- What happens if we combine with "and"?
- Can you represent as a union of intervals?
- How do absolute values relate to inequalities like this one?
Tip: When dealing with "or" inequalities, think about separate regions that don't overlap on the number line.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Graphing on a Number Line
Formulas
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Theorems
Properties of Inequalities
Suitable Grade Level
Grades 6-8