Exercise 2.2.3

Question

Describe what we would have to demonstrate in order to disprove each of the following statements.
  \begin{enumerate}[label=(\alph*)] 
  \item At every college in the United States, there is a student who is at least seven feet tall.
  \item For all colleges in the United States, there exists a professor who gives every student a grade of either $\mathrm{A}$ or $\mathrm{B}$.
  \item There exists a college in the United States where every student is at least six feet tall.
   \end{enumerate}

Ulisse Mini · Accepted Answer

\begin{enumerate}[label=(\alph*)] 
  \item Find a collage in the United States with no students over seven feet tall.
  \item Find a collage in the United States with no professors that only give grades of A or B.
  \item Show that all collages in the United States have at least one student under six feet tall.
   \end{enumerate}

Exercise 2.2.3

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Exercise 2.2.3

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