To solve the inequality \(2k + 5 \leq 9\), follow these steps:
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Subtract 5 from both sides: \[ 2k + 5 - 5 \leq 9 - 5 \] This simplifies to: \[ 2k \leq 4 \]
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Next, divide both sides by 2: \[ \frac{2k}{2} \leq \frac{4}{2} \] This simplifies to: \[ k \leq 2 \]
Therefore, the solution is: \[ k \leq 2 \]