1. Consider the following collection of set definitions. How many different sets are described? • {2,3,4} • {x|x is the first letter of cat, bat, or apple } • {x|x € N and 2 ≤ x ≤ 4}. • {a,b,c} • Ø • {x|x is the first letter of cat, bat, and apple } {2, a, 3, b, 4,c} • {3,4, 2}

Q: 1. example of sets A and B for which A B but Ag B.

A: Cardinality of a set is number of elements in the set.

Q: Given the sets A = {2, 4, 5, 7}, B = {2,4,5,7}, B = {2,3,5,8} in a universal set U = {1, 2, 3, 4, 5,…

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Q: 1. Let A = {2, {2},{{2}}}, B = {2, {2}, {2, {2}}}. Is A C B? Is BC A? Is either A or B a proner…

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Q: List the subsets of the following set. {1,2,0}

A: Let A=1,2,ϕ. So the number of subsets of A =23=8.

Q: How many unordered sets are possible that contain three objects chosen from seven?

A: Number of unordered sets that contain three objects chosen from seven = 7C3

Q: 2. Let A = {1,3, 4, 6, 9}, B = {r | zEN and z 7} and U = N. List elements of the following sets.…

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Q: 2. Write the following sets in roster notation. (a) {r|x € N, x -3} (c) {r |x € N, –2 < x < 6}

A: Given we have given the following sets (a) x x∈ℕ , x≤-8 (b) x x∈ℤ, x≥-3 (c) x x∈ℕ,-2≤x&lt;6 we have…

Q: The universal set is U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7,…

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Q: What relationship (subset, intersect, disjoint, or equivalent) can be used to characterize the two…

A: Remind that, SUBSET : Any set A is said to be a subset of B if all elements of A are also elements…

Q: Construct a Venn diagram illustrating the given sets. A = {4,5,6,7,8,9} B = {3,4,5,6,10} C =…

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Q: 1.Let’s consider: U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, V = {0, 2, 4, 6, 8}, D = {1, 3, 5, 7, 9}, P =…

A: Here given that    U={0,1,2,3,4,5,6,7,8,9}V={0,2,4,6,8}D={1,3,5,7,9}P={2,3,5,7} That means V is set…

Q: 3. Is the set of all brown dogs a subset of the set of all dogs? Why or why not? 4. Is the set of…

A: We need to find the solutions to the given 3 problems. Let's begin.

Q: Construct a Venn Diagram illustrating the given sets. A = {4,5,6,8}. B= {!,2,4,5, 6,7}, C={3,4,73…

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