graph the inequality in the coordinate plane.

(y 7)

Question

graph the inequality in the coordinate plane.

(y > 7)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Linear Inequalities", "Graphing Inequalities" ], "new_concepts": [], "current_concepts": [ "Linear Inequalities", "Graphing Inequalities" ] } ## Identify the boundary line $$ y = 7 $$ ## Determine the line style and shaded region $$ \begin{aligned} &\text{Strict inequality } (>) \implies \text{Dashed line}\ &y > 7 \implies \text{Shade the region above } y = 7 \end{aligned} $$ To graph the inequality $y > 7$: 1. Draw a dashed horizontal line at $y = 7$. 2. Shade the entire region above this line. { "elements": [ { "type": "line", "params": [[-10, 7], [10, 7]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2, "dash": 2, "name": "y = 7", "withLabel": true, "labelPosition": [8, 7.5] } }, { "type": "inequality", "params": [{"js": "7", "latex": "y > 7"}, [0, 8.5]], "properties": { "inverse": true, "strict": true, "fillColor": "rgba(140, 85, 242, 0.3)", "strokeColor": "none" } } ], "timestamps": [0.5, 1.0] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Graphing Inequalities" ] }

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Question

Explanation:

Identify the boundary line

Determine the line style and shaded region

Answer: