Relationship between the unions and intersections

Reference no: EM132598436

Question 1: Suppose that integers m and n are perfect squares. Prove or find a counterexample to disprove that 4m+4n+4√(mn )is also a perfect square.

Question 2: Use contraposition to prove that
"For all real numbers r, if r² is irrational, then 1/r is irrational."

Question 3: Draw a Venn diagram to better understand the relationship between the unions and intersections described below and then use the set identities to simplify the following expression for sets A,B "and" C:

((A ∩ (B ∪ C)) ∩ (A-B)) ∩ (B ∪ C^c ).

Reference no: EM132598436

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