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solve the inequality. \\6x < 24\\ \\x > 4\\ \\x < 4\\ \\x > -4\\

Question

solve the inequality.

\\6x < 24\\

\\x > 4\\
\\x < 4\\
\\x > -4\\

Explanation:

Response

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<reasoning>

Isolate the variable x

Using the Solving Inequalities knowledge point
\[

$$\begin{aligned} 6x &< 24 \\ \frac{6x}{6} &< \frac{24}{6} \\ x &< 4 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>\(x > 4\)</mcq-option>
<mcq-correct>\(x < 4\)</mcq-correct>
<mcq-option>\(x > -4\)</mcq-option>
</answer>

<plot>
{
"elements": [
{
"type": "bentinequality",
"params": [
{
"x": 4,
"operator": "<",
"strokeColor": "#8C55F2",
"strokeWidth": 3,
"showLabel": true,
"labelText": "x < 4"
}
],
"properties": {
"name": "solution_set"
}
},
{
"type": "point",
"params": [[4, 0]],
"properties": {
"name": "4",
"size": 4,
"strokeColor": "#8C55F2",
"fillColor": "#FFFFFF",
"withLabel": true
}
}
],
"timestamps": [0.5]
}
</plot>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Solving Inequalities"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
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"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
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"needs_drawing": true,
"concepts_used": [
"Solving Inequalities"
],
"new_concepts": [],
"current_concepts": [
"Solving Inequalities",
"One-Step Inequalities"
]
}
</pre_analysis>

<reasoning>

Isolate the variable x

Using the Solving Inequalities knowledge point
\[

$$\begin{aligned} 6x &< 24 \\ \frac{6x}{6} &< \frac{24}{6} \\ x &< 4 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>\(x > 4\)</mcq-option>
<mcq-correct>\(x < 4\)</mcq-correct>
<mcq-option>\(x > -4\)</mcq-option>
</answer>

<plot>
{
"elements": [
{
"type": "bentinequality",
"params": [
{
"x": 4,
"operator": "<",
"strokeColor": "#8C55F2",
"strokeWidth": 3,
"showLabel": true,
"labelText": "x < 4"
}
],
"properties": {
"name": "solution_set"
}
},
{
"type": "point",
"params": [[4, 0]],
"properties": {
"name": "4",
"size": 4,
"strokeColor": "#8C55F2",
"fillColor": "#FFFFFF",
"withLabel": true
}
}
],
"timestamps": [0.5]
}
</plot>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Solving Inequalities"
]
}
</post_analysis>