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

\4x + 14

Question

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

\4x + 14 < -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" ] } ## Isolate the variable term $$ \begin{aligned} 4x + 14 &< -2 \ 4x &< -2 - 14 \ 4x &< -16 \end{aligned} $$ ## Solve for x $$ \begin{aligned} x &< \frac{-16}{4} \ x &< -4 \end{aligned} $$ ## Determine the graph representation $$ \begin{aligned} &\text{Boundary point: } x = -4 \text{ (open circle)} \ &\text{Direction: left (values less than } -4\text{)} \end{aligned} $$ Solve the inequality and graph the solution on the line provided. $4x + 14 < -2$ 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:

Isolate the variable term

Solve for x

Determine the graph representation

Answer: