To solve the inequality \( 14x - 34 > 514 \), follow these steps:
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Add 34 to both sides: \[ 14x - 34 + 34 > 514 + 34 \] This simplifies to: \[ 14x > 548 \]
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Divide both sides by 14: \[ x > \frac{548}{14} \]
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Simplify \(\frac{548}{14}\):
- Divide 548 by 14: \[ 548 \div 14 = 39.142857 \ldots \]
This can be expressed as: \[ \frac{274}{7} \] (in mixed number form, this is approximately \(39 \frac{1}{7}\)).
Thus, the solution is \( x > \frac{274}{7} \), which is approximately \( x > 39.14 \).
However, none of the provided responses appear to be correct in terms of exact values.
The closest correct response based on typical simplification forms appears not to be listed, but the correct answer mathematically is:
\[ x > \frac{274}{7} \quad \text{or} \quad x > 39.14. \]
If there is an error in the options, ensure they were typed correctly.
1 answer