To solve the inequality \( 3x - 5 \geq 13 \), follow these steps:
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Add 5 to both sides of the inequality: \[ 3x - 5 + 5 \geq 13 + 5 \] This simplifies to: \[ 3x \geq 18 \]
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Divide both sides by 3: \[ \frac{3x}{3} \geq \frac{18}{3} \] This simplifies to: \[ x \geq 6 \]
So, the solution to the inequality is: \[ x \geq 6 \]