Let E(n) be the statement that in a triangulation of a simple polygon with n sides, at least one of the triangles in the triangulation has two sides bordering the exterior of the polygon.

a) Explain where a proof using strong induction that E(n) is true for all integers n ≥ 4 runs into difficulties.

b) Show that we can prove that E(n) is true for all integers n ≥ 4 by proving by strong induction the stronger statement T (n) for all integers n > 4, which states that in every triangulation of a simple polygon, at least two of the triangles in the triangulation have two sides bordering the exterior of the polygon.

WalMart Nation: Reagan’s America Reagan was actively reaching out to white southerners. He wanted to create a new Republican coalition, in which he advocates for the defense of states’ rights. He wanted to pull people in to the Republican Party. Moral Majority Founded by Jerry Falwell in 1979 o Evangelicals stayed away from politics in the past, but now...