what graph matches the compound inequality below? (3x + 1 7)

Question

what graph matches the compound inequality below?

(3x + 1 < 4) or (2x - 5 > 7)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Compound Inequalities" ], "new_concepts": [ "Union of Sets", "Graphing Inequalities" ], "current_concepts": [ "Compound Inequalities", "Union of Sets", "Graphing Inequalities" ] } ## Solve the first inequality $$ \begin{aligned} 3x + 1 &< 4 \ 3x &< 3 \ x &< 1 \end{aligned} $$ ## Solve the second inequality $$ \begin{aligned} 2x - 5 &> 7 \ 2x &> 12 \ x &> 6 \end{aligned} $$ ## Combine the solutions $$ x < 1 \quad \text{or} \quad x > 6 $$

(A) Open circles at 2 and 4, shaded between them

(B) Open circles at 1 and 6, shaded pointing outwards to the left and right

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Compound Inequalities" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Solve the first inequality

Solve the second inequality

Combine the solutions

Answer: