To solve the linear inequality \(6x - 3 \geq 15\), follow these steps:
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Add 3 to both sides of the inequality: \[ 6x - 3 + 3 \geq 15 + 3 \] This simplifies to: \[ 6x \geq 18 \]
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Now, divide both sides by 6: \[ \frac{6x}{6} \geq \frac{18}{6} \] This simplifies to: \[ x \geq 3 \]
So the solution to the inequality \(6x - 3 \geq 15\) is: \[ x \geq 3 \]