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

\-19 + 8x \ge -75\

answer attempt 1 out of 2

inequality notation:

number line:

Question

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

\-19 + 8x \ge -75\

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", "quick" ], "needs_drawing": true, "concepts_used": [ "Solving Linear Inequalities", "Number Line Graphing" ], "new_concepts": [], "current_concepts": [ "Solving Linear Inequalities", "Number Line Graphing" ] } ## Isolate the variable term $$ \begin{aligned} -19 + 8x &\ge -75 \ 8x &\ge -75 + 19 \ 8x &\ge -56 \end{aligned} $$ ## Solve for x $$ \begin{aligned} x &\ge \frac{-56}{8} \ x &\ge -7 \end{aligned} $$ ## Determine number line representation $$ \begin{aligned} &\text{Endpoint: } -7 \ &\text{Circle type: } \text{Closed (solid dot)} \ &\text{Direction: } \text{Right (towards positive infinity)} \end{aligned} $$ Solve the inequality and graph the solution on the line provided. $$-19 + 8x \ge -75$$ Inequality Notation: $x \ge -7$ Number Line: A solid closed circle at $-7$ with a ray pointing to the right { "elements": [ { "type": "bentinequality", "params": [ { "x": -7, "operator": ">=", "labelText": "x \ge -7", "strokeColor": "#8C55F2", "strokeWidth": 3 } ], "properties": { "visible": true } } ], "timestamps": [0.5] } { "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

Solve for x

Determine number line representation

Answer: