Math Problem Statement
Solution
From the graph you provided, we see two open circles at and , which indicate that these values are not included in the solution. The values in between, however, are included. This suggests that the variable can take any value between -2 and 2, exclusive.
The absolute value inequality that represents this graph is:
This inequality states that the absolute value of must be less than 2, which corresponds to the range of values for from -2 to 2, not including the endpoints themselves.
Would you like any further details on this or have any questions about absolute value inequalities?
Here are some related questions you might find helpful:
- How would the inequality change if the circles on the graph were closed?
- What would be the inequality if values were greater than 2 and less than -2?
- How do we solve absolute value inequalities algebraically?
- Can you explain why absolute values are used in inequalities?
- How would this inequality be graphed on a coordinate plane?
Tip: When writing absolute value inequalities from a number line graph, always check whether the circles are open or closed to determine if the endpoints are included in the inequality.
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Math Problem Analysis
Mathematical Concepts
Algebra
Absolute Value
Inequalities
Formulas
|x| < a
Theorems
Absolute Value Inequalities
Suitable Grade Level
Grades 6-8