Question 27 (2 points) The set membership IN answers what condition? ONOT OLIKE OAND OR
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Step 1: The set membership operator "IN" checks if an element is present in a set. Show more…
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Zack A.
Which of the following statements is true about elements and sets? The element of a set can never itself be a set. The elements of every set are always themselves sets. A set can be the element of another set. The two terms are synonymous. How many elements are in the set {a, {b, c}, d}? 4 2 3 1 Which of the following represents the set of all even positive integers less than 10? {2, 4, 6, 8} {0, 2, 4, 6, 8} {2, 4, 6, 8, 10} {0, 2, 4, 6, 8, 10} Which of the following describes the light blue portion of the Venn diagram shown above? B - A A - B A ∩ B - A ∪ B A ∪ B - A ∩ B Assume |A| = 3 and |B| = 4, what is |A × B|? 24 18 12 7 For which of the following pairs of sets is the relationship A ⊆ B ∧ A ⊂ B true? A = {2, 5, 8, 10} and B = {2, 5, 8, 10} A = {2, 5, 10} and B = {2, 3, 5, 8, 10} A = {2, 3, 5, 8, 10} and B = {2, 3, 8, 10} A = {2, 5, 8, 10} and B = {2, 3, 8, 10} Assuming U represents the universal set and S represents any set, which of the following is a correct set property? S ∪ ∅ = S S ∩ ∅ = S S ∩ U = U S ∪ U = S Assume that {A₁, A₂} is a partition of a set A. Which of the following is not always true? A₁ ∩ A₂ = ∅ A₁ ∪ A₂ = A A₁ ⊆ A A₁ ⊂ A₂ Assuming an alphabet Σ = {a, b}, which of the following describes Σ⁰? ∅ {λ} {a, b} {a} How many elements are in the power set of the empty set? 0 1 4 2
Sri K.
Question 6: 5 Marks In interval notation, the set {x | -2 <= x < 5} U {x | -3 < x < 7} is expressed as [-2,5) U (-3,7), which is equal to 1. [-2,5) 2. (-3,5] 3. (-3,7) 4. [-2,7) 5. (-2,5) Question 7: 5 Marks Suppose A = {x in R | x >= -3}, B = {x in R | x < 5}, and C = {x in R | -2 < x <= 7}. Which of the following statements is/are true? (a) A n B = {x in R | -3 <= x < 5} (b) A n C = {x in R | -2 < x <= 7} (c) B U C = {x in R | x <= 7} 1. Only (a) 2. Only (b) and (c) 3. Only (a) and (c) 4. (a), (b), and (c) 5. Only (b)
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