Let P(n) be the statement that when nonintersecting

Chapter 5, Problem 22E

(choose chapter or problem)

Let P(n) be the statement that when nonintersecting diagonals are drawn inside a convex polygon with n sides, at least two vertices of the polygon are not endpoints of any of these diagonals.a) Show that when we attempt to prove P (n) for all integers n with n ? 3 using strong induction, the inductive step does not go through.________________b) Show that we can prove that P(n) is true for all integers n with n ? 3 by proving by strong induction the stronger assertion Q(n). for n ? 4, where Q(n) states that whenever nonintersecting diagonals are drawn inside a convex polygon with n sides, at least two non- adjacent vertices are not endpoints of any of these diagonals.

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