the inequality $y \ge -x + 3$ should be graphed with a

dashed
solid
vertical
horizontal

Question

the inequality $y \ge -x + 3$ should be graphed with a

dashed
solid
vertical
horizontal

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Graphing Inequalities", "Linear Inequalities" ], "new_concepts": [], "current_concepts": [ "Graphing Inequalities", "Linear Inequalities" ] } ## Identify the inequality symbol Using the *Linear Inequalities* knowledge point The given inequality is: $$ y \ge -x + 3 $$ The inequality symbol is $\ge$ (greater than or equal to). ## Determine the boundary line style Using the *Graphing Inequalities* knowledge point $$ \begin{aligned} &\text{Since the symbol is } \ge \text{ (which includes equality),} \ &\text{the boundary line } y = -x + 3 \text{ is part of the solution set.} \ &\text{Therefore, the boundary line must be drawn as a solid line.} \end{aligned} $$

dashed

solid

vertical

horizontal

{ "elements": [ { "type": "inequality", "params": [ { "js": "-x + 3", "latex": "y \ge -x + 3" }, [2, 4] ], "properties": { "inverse": true, "strict": false, "strokeColor": "#8C55F2", "strokeWidth": 2, "fillColor": "rgba(140, 85, 242, 0.3)" } }, { "type": "functiongraph", "params": [ { "js": "-x + 3", "latex": "y = -x + 3" }, -10, 10 ], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 3, "dash": 0 } } ], "timestamps": [0.5] } { "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Graphing Inequalities" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the inequality symbol

Determine the boundary line style

Answer: