. Which of the following statements can be proved using a proof by cases? (a) If n is a natural number then n² % 4 is equal to either 0 or 1. (b) v2 is irrational. (c) If G is a graph on at least 2 vertices, then G contains 2 vertices whose degrees are equal n(n+1) (d) The sum of the first n positive integers is

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12. Which of the following statements can be proved using a proof by cases?
(a) If n is a natural number then n2 % 4 is equal to either 0 or 1.
(b) v2 is irrational.
(c) If G is a graph on at least 2 vertices, then G contains 2 vertices whose degrees are equal.
n(n+1)
(d) The sum of the first n positive integers is
2
Transcribed Image Text:12. Which of the following statements can be proved using a proof by cases? (a) If n is a natural number then n2 % 4 is equal to either 0 or 1. (b) v2 is irrational. (c) If G is a graph on at least 2 vertices, then G contains 2 vertices whose degrees are equal. n(n+1) (d) The sum of the first n positive integers is 2
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