QQuestionMathematics
QuestionMathematics
When you graph an inequality, do you use a closed dot or an open dot?
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Step 1:Let me explain the graphing of inequalities on a number line:
Step 2:: Understand the Inequality Symbol
- $$\geq$$ (greater than or equal to): Use a CLOSED dot
- When graphing an inequality, the type of dot depends on the inequality symbol:
Step 3:: Reasoning Behind Dot Types
- Open dot (○): Indicates the point is NOT included in the solution - Closed dot (●): Indicates the point IS included in the solution - This visually represents whether the endpoint is part of the solution set
Final Answer
- \lt and \gt use OPEN dots - \leq and \geq use CLOSED dots Example: - x \lt 5 would be graphed with an open dot at 5 - x \leq 5 would be graphed with a closed dot at 5
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