To solve the inequality \( 2.8x + 9 > 14.6 \), follow these steps:
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Subtract 9 from both sides: \[ 2.8x + 9 - 9 > 14.6 - 9 \] This simplifies to: \[ 2.8x > 5.6 \]
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Now, divide both sides by 2.8: \[ \frac{2.8x}{2.8} > \frac{5.6}{2.8} \] This simplifies to: \[ x > 2 \]
Therefore, the solution to the inequality is: \[ x > 2 \]