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

\2x + 16

Question

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

\2x + 16 < 2\

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 16 from both sides $$ \begin{aligned} 2x + 16 &< 2 \ 2x &< 2 - 16 \ 2x &< -14 \end{aligned} $$ ## Divide both sides by 2 $$ \begin{aligned} x &< \frac{-14}{2} \ x &< -7 \end{aligned} $$ ## Determine the number line graph representation $$ \begin{aligned} &\text{Endpoint: } -7 \text{ (open circle)} \ &\text{Direction: left (values less than } -7) \end{aligned} $$ Solve the inequality and graph the solution on the line provided. $2x + 16 < 2$ Inequality Notation: $x < -7$ { "elements": [ { "type": "line", "params": [[-14, 0], [14, 0]], "properties": { "strokeColor": "#888888", "strokeWidth": 2, "fixed": true } }, { "type": "bentinequality", "params": [{ "x": -7, "operator": "<", "labelText": "x < -7" }], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 4 } }, { "type": "point", "params": [[-7, 0]], "properties": { "name": "-7", "size": 5, "fillColor": "#FFFFFF", "strokeColor": "#8C55F2", "strokeWidth": 2, "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:

Subtract 16 from both sides

Divide both sides by 2

Determine the number line graph representation

Answer: