To determine which rules could or could not apply to the given input-output pair, we need to clarify the relationship between the input (let's denote it as \( x \)) and the output (let's denote it as \( y \)). Since the input and output are not specified, let's analyze each rule based on possible values for \( x \) and the corresponding output \( y \).
Could be a rule for this input-output pair:
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Add 3, then divide by 2.
- This rule translates to \( y = \frac{x + 3}{2} \). Depending on the input \( x \), this could produce valid outputs.
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Subtract 1, then divide by 2.
- This translates to \( y = \frac{x - 1}{2} \). Similar to the previous rule, this can also yield various outputs based on \( x \).
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If even, subtract 5. If odd, multiply by 2.
- This rule produces different results depending on whether \( x \) is even or odd. This could also apply for certain inputs.
Could not be a rule for this input-output pair:
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Subtract 5.
- This translates to \( y = x - 5 \). If the input-output pair does not match this relationship, this rule cannot apply.
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Multiply by 2, then subtract 18.
- This translates to \( y = 2x - 18 \). If the input-output pair does not fit this relationship, then this rule cannot be a possibility.
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Write 13.
- This rule does not involve a calculation based on the input \( x \). It simply states a fixed output of 13, which does not allow for a relationship based on the input value.
Conclusion:
Without the specific input-output pair details, the validity of the rules can only be speculated based on their general mathematical form.
To accurately classify the rules based on the specific input-output pair, you would need to substitute the actual values into each rule and see which expressions can produce the output from the input.
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