victor solved this inequality as shown:

step 1: $3x - 5 x + 5$
step 2: $2x - 5 5$
step 3: $2x 10$
step 4: $x 5$

what property justifies the work between step 3 and step 4?

- division property of inequality
- inverse property of multiplication
- subtraction property of inequality
- transitive property of inequality

Question

victor solved this inequality as shown:

step 1: $3x - 5 > x + 5$
step 2: $2x - 5 > 5$
step 3: $2x > 10$
step 4: $x > 5$

what property justifies the work between step 3 and step 4?

- division property of inequality
- inverse property of multiplication
- subtraction property of inequality
- transitive property of inequality

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Linear Equations", "Properties of Equality" ], "new_concepts": [ "Properties of Inequality" ], "current_concepts": [ "Solving Linear Equations", "Properties of Equality", "Properties of Inequality" ] } ## Analyze the transition from step 3 to step 4 $$ \begin{aligned} &\text{Step 3: } 2x > 10 \ &\text{Step 4: } x > 5 \end{aligned} $$ ## Identify the operation performed $$ \begin{aligned} &\frac{2x}{2} > \frac{10}{2} \ &x > 5 \end{aligned} $$ ## Match the operation to the correct property $$ \text{Division Property of Inequality} $$

division property of inequality

inverse property of multiplication

subtraction property of inequality

transitive property of inequality

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Properties of Inequality" ] }

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QUESTION IMAGE

Question

Explanation:

Analyze the transition from step 3 to step 4

Identify the operation performed

Match the operation to the correct property

Answer: