Determine whether the following inequality is correct based on the given sentence.
Sentence: \(x\) is less than or equal to \(15\).
Inequality: \(x\leq 15\).
Sentence: \(x\) is greater than three times \(y\).
Inequality: \(x\geq3y\).
Sentence: The minimum value of \(y\) is \(k\).
Inequality: \(y \leq k\).
Sentence: The sum of \(x\) and \(y\) is not more than \(k\).
Inequality: \(x+y \leq k\).
Sentence: \(y\) is at least \(k\) times the value of \(x\) .
Inequality: \(y \geq kx\).
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