2.7 module 2 post-test solve the inequality: $-32 -4x + 8$ $x 10$

Question

2.7 module 2 post-test solve the inequality: $-32 > -4x + 8$ $x < 12$ $x < 10$ $x > 12$ $x > 10$

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": [ "Solving Multi-Step Equations", "Inequality Symbols" ], "new_concepts": [], "current_concepts": [ "Solving Multi-Step Equations", "Inequality Symbols", "Linear Inequalities" ] } ## Isolate the variable term Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} -32 &> -4x + 8 \ -32 - 8 &> -4x \ -40 &> -4x \end{aligned} $$ ## Divide by the negative coefficient Using the *Inequality Symbols* and *Solving Multi-Step Equations* knowledge points $$ \begin{aligned} \frac{-40}{-4} &< x \ 10 &< x \ x &> 10 \end{aligned} $$

$x < 12$

$x < 10$

$x > 12$

$x > 10$

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

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Question

Explanation:

Isolate the variable term

Divide by the negative coefficient

Answer: