Math Problem Statement
Solution
The image shows a number line with two open circles around -3 and 3. The number line is shaded to the left of -3 and to the right of 3, extending indefinitely in both directions.
This represents the inequality:
This is the solution to a compound inequality where is outside the interval between -3 and 3, i.e., is either less than -3 or greater than 3. The open circles indicate that -3 and 3 are not included in the solution set (strict inequalities).
Would you like further details or have any questions?
Here are 5 related questions:
- What does a closed circle on a number line indicate?
- How would the inequality change if -3 and 3 were included in the solution?
- How would you write this inequality using interval notation?
- Can you graph a similar inequality with different boundary values, like -5 and 2?
- What is the difference between strict inequalities and inequalities that include the boundary?
Tip: Open circles on a number line represent values that are not part of the solution (strict inequality), while closed circles represent values that are included in the solution (non-strict inequality).
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Math Problem Analysis
Mathematical Concepts
Inequalities
Number Line
Compound Inequalities
Formulas
x < -3 or x > 3
Theorems
Inequality notation for intervals
Strict inequalities representation
Suitable Grade Level
Grades 7-9