To solve the inequality \(4y - 9 \geq -1\), follow these steps:
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Add 9 to both sides: \[ 4y - 9 + 9 \geq -1 + 9 \] This simplifies to: \[ 4y \geq 8 \]
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Divide both sides by 4: \[ \frac{4y}{4} \geq \frac{8}{4} \] This simplifies to: \[ y \geq 2 \]
So, the solution to the inequality is: \[ y \geq 2 \]