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Solve questions and write the solutions in LaTeX

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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 474_figure.png

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}.

Reference no: EM132323080

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