what is the solution to $-2(8x - 4) \frac{1}{6}$ $x 6$ $x

Question

what is the solution to $-2(8x - 4) < 2x + 5$? $x > \frac{1}{6}$ $x < \frac{1}{6}$ $x > 6$ $x < 6$

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 Linear Inequalities", "Division Property of Inequality" ], "new_concepts": [], "current_concepts": [ "Solving Linear Inequalities", "Division Property of Inequality" ] } ## Distribute the constant on the left side Using the *Solving Linear Inequalities* knowledge point $$ \begin{aligned} -2(8x - 4) &< 2x + 5 \ -16x + 8 &< 2x + 5 \end{aligned} $$ ## Isolate the variable terms Using the *Solving Linear Inequalities* knowledge point $$ \begin{aligned} -16x - 2x &< 5 - 8 \ -18x &< -3 \end{aligned} $$ ## Solve for x by dividing Using the *Division Property of Inequality* knowledge point $$ \begin{aligned} x &> \frac{-3}{-18} \ x &> \frac{1}{6} \end{aligned} $$

(A) $x > \frac{1}{6}$

(B) $x < \frac{1}{6}$

(C) $x > 6$

(D) $x < 6$

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

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QUESTION IMAGE

Question

Explanation:

Distribute the constant on the left side

Isolate the variable terms

Solve for x by dividing

Answer: