Answer :

Given; P(n): 2n < n! n ϵ N

P(1) : 2×1<1! 2<1; it’s not true.


P(2) : 2×2<2! 4<2; it’s not true.


P(3) : 2×3<3! 6<6; it’s not true.


P(4) : 2×4<4! 8<24; it’s true.


P(3) : 2×5<5! 10<120; it’s true.


n≥4


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