Reference no: EM132323080
Assignment - Solve these questions and write the solutions in LaTeX:
Q1. Suppose n ∈ Z. If n2 is odd, then n is odd.
Q2. Prove that √6 is irrational.
Q3. If a, b ∈ Z , then a2 - 4b - 2 ≠ 0.
Q4. Suppose a, b, c ∈ Z. If a2 + b2 = c2, then a or b is even.
Q5. If A and B are sets in a universal set U, then
Q6. If A, B and C are sets, then A - (B ∩ C) = (A - B) ∪ (A - C).
Q7. If A, B and C are sets, then (A ∪ B) - C = (A - C) ∪ (B - C).
Q8. If A, B and C are sets, then A x (B ∪ C) = (A x B) ∪ (A x C).
Q9. If A, B and C are sets, then A x (B - C) = (A x B)- (A x C).
Q10. Prove that {9n: n ∈ Q} = {3n: n ∈ Q}.