To solve the inequality \( 14x - 34 > 514 \), follow these steps:
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Add 34 to both sides: \[ 14x - 34 + 34 > 514 + 34 \] \[ 14x > 548 \]
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Divide both sides by 14: \[ x > \frac{548}{14} \]
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Simplify \( \frac{548}{14} \): \[ \frac{548 \div 2}{14 \div 2} = \frac{274}{7} \approx 39.14 \]
Therefore, the solution to the inequality is: \[ x > 39.14 \]
However, looking at your options, it seems I made a mistake in my interpretation of the answer choices provided. The decimal or fraction equivalent of \( \frac{548}{14} \) does not appear directly in the options.
Let's calculate \( 39.14 \) accurately, considering \( 548 \) as closely related to \( 14 \):
- \( \frac{548}{14} = 39.142857... \) Which rounds to approximately \( 39 \).
None of the provided options seems to correctly represent the solution \( x > \frac{548}{14} \).
Please ensure that you provided the proper sets of options, or if any potential rounding or misinterpretation of values was present. The correct analytical approach indicates:
- The answer is \( x > 39.14 \). Please check if possible variations of your options exist.
1 answer