To solve the inequality \( x - 2.41 > 4.76 \), we start by isolating \( x \) on one side of the inequality.
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Add \( 2.41 \) to both sides: \[ x - 2.41 + 2.41 > 4.76 + 2.41 \]
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This simplifies to: \[ x > 7.17 \]
Therefore, the solution to the inequality is \( x > 7.17 \).
The options you provided are:
- \( x > 2.35 \)
- \( x > 7.17 \)
- \( x > 7.17 \) (repeated)
- \( x < 2.35 \)
Out of these, the correct solution is \( x > 7.17 \).