1) Suppose n ∈ ℤ. Select the correct choice for possible cases. a) n>0 or n=0 b) n is even or odd c) n is even or n=0 2) Suppose n ∈ ℝ. Select the correct choice for possible cases. a) n is even or odd b) n > 0 or n=0 c) n=0 or n>0 or n<0 d) n < 0 or n > 0 3) Suppose a,b,c ∈ ℕ and a ≤ b ≤ c. Select the correct choice for possible cases. a) a>b>c or a=b=c b) a=b=c or a=b < c or a<b=c or a < b < c c) a > b > c or a=b > c or a>b=c or a=b=c 4) If n ∈ ℕ. Select the correct choice for possible cases. a) n=0 or n is a positive integer b) n is even or odd c) n<0 or n=0 or n >0 d) n < 0 or n > 0 5) Suppose a,b ∈ ℤ. and a<b What are cases involving divides? a) a∣b or a∤b b) a < b or a=b or b>a c) a,b is even or a,b is odd or a is even, b is odd 6) Suppose a,b ∈ ℤ. What choices can you treat with similar cases? a) a is even or b is even b) a is odd or b is odd c) a is even, b is odd or a is odd, b is even 7) Suppose a,b ∈ ℝ. What choices can you treat with similar cases? a) a=b or a < b b) a=b or a > b c) a=0 or a<b d) a < b or b >a 8) Suppose a,b ∈ ℤ. What choices can you treat with similar cases? a) a is even, b is odd or a is odd, b is even b) a is odd or b is odd c) b is even or b is odd

Math 111 Proof by Cases

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