To solve the inequality \( 5x + 12.5 < 23.1 \), we can follow these steps:
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Subtract 12.5 from both sides: \[ 5x < 23.1 - 12.5 \]
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Calculate the right-hand side: \[ 23.1 - 12.5 = 10.6 \] So we have: \[ 5x < 10.6 \]
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Divide both sides by 5: \[ x < \frac{10.6}{5} \]
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Calculate the division: \[ \frac{10.6}{5} = 2.12 \] Thus, the inequality becomes: \[ x < 2.12 \]
Therefore, the final answer is: \[ x < 2.12 \]