\3m + 2 4\ \m \quad\

Question

\3m + 2 < 5 \text{ or } \frac{m + 1}{2} > 4\ \m < ? \text{ or } m > \quad\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Inequalities", "Algebraic Solving", "Compound Inequalities" ], "new_concepts": [], "current_concepts": [ "Linear Inequalities", "Algebraic Solving", "Compound Inequalities" ] } ## Solve the first inequality $$ \begin{aligned} 3m + 2 &< 5 \ 3m &< 3 \ m &< 1 \end{aligned} $$ ## Solve the second inequality $$ \begin{aligned} \frac{m + 1}{2} &> 4 \ m + 1 &> 8 \ m &> 7 \end{aligned} $$ ## Combine the solutions $$ m < 1 \text{ OR } m > 7 $$ $3m + 2 < 5 \text{ OR } \frac{m + 1}{2} > 4$ $m <$ 1 $\text{ OR } m >$ 7 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Compound Inequalities" ] }

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QUESTION IMAGE

Question

Explanation:

Solve the first inequality

Solve the second inequality

Combine the solutions

Answer: