consider the following inequality:

\-3z + 3 -9\

step 1 of 2: write the solution using interval notation.

Question

consider the following inequality:

\-3z + 3 > -9\

step 1 of 2: write the solution using interval notation.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Solving Linear Inequalities", "Inequality Sign Reversal" ], "new_concepts": [], "current_concepts": [ "Solving Linear Inequalities", "Inequality Sign Reversal", "Interval Notation" ] } ## Isolate the variable term Using the **Solving Linear Inequalities** knowledge point $$ \begin{aligned} -3z + 3 &> -9 \ -3z &> -9 - 3 \ -3z &> -12 \end{aligned} $$ ## Divide by the negative coefficient Using the **Inequality Sign Reversal** knowledge point $$ \begin{aligned} z &< \frac{-12}{-3} \ z &< 4 \end{aligned} $$ ## Express in interval notation Using the **Solving Linear Inequalities** knowledge point $$ (-\infty, 4) $$ Consider the following inequality: $$-3z + 3 > -9$$ Step 1 of 2: Write the solution using interval notation. Answer: $(-\infty, 4)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Linear Inequalities" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the variable term

Divide by the negative coefficient

Express in interval notation

Answer: