graph.

(x \ge -765)

plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Question

graph.

(x \ge -765)

plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Linear Inequalities", "Number Line Graphing" ], "new_concepts": [], "current_concepts": [ "Linear Inequalities", "Number Line Graphing" ] } ## Identify the inequality and boundary point $$ x \ge -765 $$ ## Determine the endpoint type and direction $$ \begin{aligned} &\text{Endpoint: } -765 \quad (\text{Closed circle due to } \ge)\ &\text{Direction: } \text{Right (values greater than or equal to } -765) \end{aligned} $$ To graph $x \ge -765$ on the number line: 1. Place a **closed circle** at $-765$. 2. Draw a **ray pointing to the right** from $-765$. { "elements": [ { "type": "bentinequality", "params": [{ "x": -765, "operator": ">=", "labelText": "x \ge -765" }], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 3 } } ] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Linear Inequalities" ] }

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Question

Explanation:

Identify the inequality and boundary point

Determine the endpoint type and direction

Answer: