To solve the inequality \( 4x - 5 > 19 \), follow these steps:
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Add 5 to both sides: \[ 4x - 5 + 5 > 19 + 5 \] This simplifies to: \[ 4x > 24 \]
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Divide both sides by 4: \[ x > \frac{24}{4} \] This simplifies to: \[ x > 6 \]
So the solution to the inequality is \( x > 6 \).
The correct answer is: \( x > 6 \).