2. solve $|x| = -7$.

$\{-7, 7\}$

$\{-7\}$

$\{7\}$

no solutions

Question

2. solve $|x| = -7$.

$\{-7, 7\}$

$\{-7\}$

$\{7\}$

no solutions

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": [ "Absolute Value Equations", "Number of Solutions of Absolute Value Equations" ], "new_concepts": [], "current_concepts": [ "Absolute Value Equations", "Number of Solutions of Absolute Value Equations" ] } ## Analyze the absolute value equation Using the *Absolute Value Equations* knowledge point $$ |x| = -7 $$ ## Determine the number of solutions Using the *Number of Solutions of Absolute Value Equations* knowledge point $$ \begin{aligned} &\text{Since } |x| \ge 0 \text{ for all real numbers } x,\ &\text{the equation } |x| = -7 \text{ has no real solutions.} \end{aligned} $$

(A) $\{-7, 7\}$

(B) $\{-7\}$

(C) $\{7\}$

(D) no solutions

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Absolute Value Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Analyze the absolute value equation

Determine the number of solutions

Answer: