Set Theory (original) (raw)

If A and B are subsets of a universal set U such that A ∪ B = U and A ∩ B = ∅, which of the following statements is always true?

Let A and B be two sets such that A ⊆ B. Which of the following statements is always true?

The number of non-trivial subsets of a set with 5 elements is

If A = {x|x ∈ N and (x2 − 4)(x2 − 5) = 0} and B = {x|x ∈ l+ and x(x − 1)(x − 2) = 0} then (A ∪ B) - (A ∩ B) is

Which of the following is a subset of R (the set of real numbers)?

• {x∣ x is a real solution to x2 + 1 = 0}
• Q (the set of rational numbers)

Which of the following statements is false?

If A and B are two sets such that A∪B = A×B, which of the following must be true?

• Both A and B are single-element sets

Which of the following is not a valid expression for the empty set ∅?

Let A, B, and C be sets such that A∪B = A∪C and A∩B = A∩C. Which of the following must be true?

• No conclusion can be drawn about B and C.

The **empty set ∅ is a subset of every set. Which of the following is **false regarding the empty set?

There are 10 questions to complete.

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