Math Problem Statement
Write down the inequality shown on the number line.
Solution
The number line shows an open circle at and a closed circle at , with a line connecting them, indicating the interval.
- The open circle at means that this value is not included in the solution.
- The closed circle at means that this value is included in the solution.
Thus, the inequality that represents the number line is:
Would you like further details or have any questions?
Here are five related questions to expand your understanding:
- How do you represent inequalities on a number line when both endpoints are closed?
- What changes in the inequality if the open circle is replaced with a closed circle?
- How can you express the inequality in interval notation?
- How do you solve an equation with a compound inequality?
- What does it mean for a number to satisfy a strict inequality versus a non-strict inequality?
Tip: Remember that open circles on a number line mean the endpoint is not included (strict inequality), while closed circles mean the endpoint is included (non-strict inequality).
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Math Problem Analysis
Mathematical Concepts
Inequalities
Number Line Representation
Formulas
-
Theorems
Inequality Theorem
Suitable Grade Level
Grades 6-8