Given that \(x\leq 3\) and \(x+y\geq 5\), what is the LEAST value that \(y\) can have?

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Since the sum of \(x\) and \(y\) needs to be greater than or equal to 5, we can minimize \(y\) by maximizing \(x\).

The maximum value of \(x\) is 3.

$$ x+y \geq 5 $$ $$ 3 + y \geq 5 $$ $$ y \geq 2 $$