solve the inequality and graph the solution on the line provided.

\7x - 12 \ge -54\

answer attempt 1 out of 2

inequality notation:

number line:

Question

solve the inequality and graph the solution on the line provided.

\7x - 12 \ge -54\

answer attempt 1 out of 2

inequality notation:

number line:

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Solving Multi-Step Inequalities", "Graphing Inequalities on a Number Line" ], "new_concepts": [], "current_concepts": [ "Solving Multi-Step Inequalities", "Graphing Inequalities on a Number Line" ] } ## Isolate the variable term Using the *Solving Multi-Step Inequalities* knowledge point $$ \begin{aligned} 7x - 12 &\ge -54 \ 7x &\ge -54 + 12 \ 7x &\ge -42 \end{aligned} $$ ## Solve for x Using the *Solving Multi-Step Inequalities* knowledge point $$ \begin{aligned} x &\ge \frac{-42}{7} \ x &\ge -6 \end{aligned} $$ ## Determine number line representation Using the *Graphing Inequalities on a Number Line* knowledge point $$ \begin{aligned} &\text{Endpoint: } -6 \ &\text{Circle type: Closed (solid dot)} \ &\text{Direction: Right (towards positive infinity)} \end{aligned} $$ Solve the inequality and graph the solution on the line provided. $7x - 12 \ge -54$ Inequality Notation: $x \ge -6$ { "elements": [ { "type": "line", "params": [[-14, 0], [14, 0]], "properties": { "strokeColor": "#583C87", "strokeWidth": 2, "fixed": true } }, { "type": "bentinequality", "params": [{ "x": -6, "operator": ">=", "labelText": "x \ge -6" }], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 4 } }, { "type": "point", "params": [[-6, 0]], "properties": { "name": "-6", "size": 5, "color": "#8C55F2", "withLabel": true, "fixed": true } } ], "timestamps": [0.0] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Multi-Step Inequalities" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the variable term

Solve for x

Determine number line representation

Answer: