the value of x must be greater than ______.

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Question

the value of x must be greater than ______.

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Triangle Inequality Theorem" ], "new_concepts": [], "current_concepts": [ "Triangle Inequality Theorem" ] } ## Apply the Triangle Inequality Theorem Using the *Triangle Inequality Theorem* knowledge point $$ \begin{aligned} &12 + x > 15 \implies x > 3\ &12 + 15 > x \implies x < 27\ &15 + x > 12 \implies x > -3 \end{aligned} $$ ## Determine the lower bound for x Using the *Triangle Inequality Theorem* knowledge point $$ x > 3 $$

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{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Inequality Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the Triangle Inequality Theorem

Determine the lower bound for x

Answer: