Largest resistor value such that BJT remains in active mode

1. The problem statement, all variables and given/known data
We are given that the transistor has β = 30. The BJT is shown below (along with the solution). Every value in the figure is given with the exception of the equation I circled in red:

3. The attempt at a solution
What I don’t get is how they got the inequality Vc – Vb > 0.4V? Where does this come from? I thought saturation occurs when Vce reaches 0.2V, so shouldn’t our inequality be Ve – Vc > 0.2V?

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