Math Problem Statement
Write a compound inequality for the graph shown below. Use x for your variable.
Solution
The graph provided shows two open circles at and , with shading between these points. Since the circles are open, it indicates that the values at and are not included in the solution.
To write a compound inequality for this graph:
This inequality means that lies between and , but does not include or themselves.
Would you like further explanation or have any questions?
Here are five related questions to expand on this:
- How would the inequality change if the circles were closed?
- How do you graph an inequality with one side open and the other side closed?
- What is the difference between strict and non-strict inequalities in terms of graphing?
- How would the graph look if the inequality were ?
- How can you solve compound inequalities algebraically?
Tip: Always look at whether the circles are open or closed on the number line to determine whether to use strict () or non-strict () inequalities.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Compound Inequalities
Formulas
None
Theorems
Properties of inequalities
Suitable Grade Level
Grades 7-9