question 1

what is the solution set for the following inequality?

(x + 6 > 15 - 2x)

(x > -3)

(x < 3)

(x < -3)

(x > 3)

Question

question 1 what is the solution set for the following inequality? (x + 6 > 15 - 2x) - (x > -3) - (x < 3) - (x < -3) - (x > 3)

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": [ "Linear Inequalities" ], "new_concepts": [], "current_concepts": [ "Linear Inequalities" ] } ## Isolate the variable terms Using the *Linear Inequalities* knowledge point $$ \begin{aligned} x + 6 &> 15 - 2x \ x + 2x + 6 &> 15 \ 3x + 6 &> 15 \end{aligned} $$ ## Isolate the constant terms Using the *Linear Inequalities* knowledge point $$ \begin{aligned} 3x &> 15 - 6 \ 3x &> 9 \end{aligned} $$ ## Solve for x Using the *Linear Inequalities* knowledge point $$ \begin{aligned} x &> \frac{9}{3} \ x &> 3 \end{aligned} $$

(A) $x > -3$

(B) $x < 3$

(C) $x < -3$

(D) $x > 3$

{ "elements": [ { "type": "bentinequality", "params": [ { "x": 3, "operator": ">", "strokeColor": "#8C55F2", "strokeWidth": 3, "showLabel": true, "labelText": "x > 3" } ], "properties": { "name": "Solution Set" } } ], "timestamps": [0.5] } { "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Inequalities" ] }

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Question

Explanation:

Isolate the variable terms

Isolate the constant terms

Solve for x

Answer: