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

\6x + 19 -5\

answer attempt 1 out of 2
inequality notation:
number line:

Question

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

\6x + 19 > -5\

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 Multi-Step Inequalities", "Graphing Inequalities on a Number Line" ], "new_concepts": [], "current_concepts": [ "Solving Multi-Step Inequalities", "Graphing Inequalities on a Number Line" ] } ## Subtract constant from both sides $$ \begin{aligned} 6x + 19 &> -5 \ 6x &> -5 - 19 \ 6x &> -24 \end{aligned} $$ ## Divide by coefficient $$ \begin{aligned} x &> \frac{-24}{6} \ x &> -4 \end{aligned} $$ ## Determine number line representation An open circle at $-4$ with a ray pointing to the right. Solve the inequality and graph the solution on the line provided. $6x + 19 > -5$ Inequality Notation: $x > -4$ { "elements": [ { "type": "line", "params": [[-13, 0], [13, 0]], "properties": { "strokeColor": "#583C87", "strokeWidth": 2, "fixed": true } }, { "type": "bentinequality", "params": [{ "x": -4, "operator": ">", "labelText": "x > -4" }], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 4 } }, { "type": "point", "params": [[-4, 0]], "properties": { "name": "-4", "size": 5, "fillColor": "#FFFFFF", "strokeColor": "#8C55F2", "strokeWidth": 2, "withLabel": true } } ], "timestamps": [0.5] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Multi-Step Inequalities" ] }

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QUESTION IMAGE

Question

Explanation:

Subtract constant from both sides

Divide by coefficient

Determine number line representation

Answer: