graph.

$x

Question

graph.

$x < 8$

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 $$ x < 8 $$ ## Determine endpoint type and direction $$ \begin{aligned} &\text{Endpoint: } x = 8 \text{ (open circle due to strict inequality } <\text{)} \ &\text{Direction: Left (values less than 8)} \end{aligned} $$ To graph $x < 8$ on the number line: 1. Place an **open circle** at $8$. 2. Draw a ray pointing to the **left** from $8$. { "elements": [ { "type": "line", "params": [[1, 0], [9, 0]], "properties": { "strokeColor": "#583C87", "strokeWidth": 2, "fixed": true } }, { "type": "bentinequality", "params": [{ "x": 8, "operator": "<", "labelText": "x < 8" }], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 4 } }, { "type": "point", "params": [[8, 0]], "properties": { "name": "8", "size": 5, "fillColor": "#white", "strokeColor": "#8C55F2", "strokeWidth": 2, "withLabel": true } } ] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Number Line Graphing" ] }

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Explanation:

Identify the inequality and boundary

Determine endpoint type and direction

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