Make the correct alternative in the following question:

Make the correct alternative in the following question:

A student was asked to prove a statement P(n) by induction. He proved P(k +1) is true whenever P(k) is true for all k > 5 ∈">∈∈ N and also P(5) is true. On the basis of this he could conclude that P(n) is true.

(a) for all $n \in \mathbf{N}$                      

(b) for all n > 5                         

(c) for all n ≥">≥≥ 5                         

(d) for all n < 5