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If A = {1, 2, 3} and B = {3, 4}, what is A union B?
- 1 {3}
- 2 {4}
- 3 {1, 2, 4}
- 4 {1, 2, 3, 4}
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Correct answer: {1, 2, 3, 4}
The union has all elements of both sets.
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If A = {1, 2, 3} and B = {3, 4}, what is A intersection B?
- 1 {3}
- 2 empty set
- 3 {1, 2, 3, 4}
- 4 {1, 2}
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Correct answer: {3}
Only 3 is in both sets.
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The number of subsets of a set with 3 elements is:
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Correct answer: 8
2³ = 8.
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If f(x) = 2x + 3, what is f(4)?
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Correct answer: 11
f(4) = 2 x 4 + 3 = 11.
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A relation in which every input has exactly one output is a:
- 1 Function
- 2 Set
- 3 Matrix
- 4 Ratio
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Correct answer: Function
This is the definition of a function.
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If A has 4 elements and B has 3 elements, how many elements are in A x B?
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Correct answer: 12
The Cartesian product has 4 x 3 = 12 ordered pairs.
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The empty set is written as:
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Correct answer: { }
The empty set has no elements.
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If A = {1, 2} and B = {2, 3}, the set A - B is:
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Correct answer: {1}
The elements in A that are not in B.
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The domain of the function f = {(1, 2), (3, 4)} is:
- 1 {1, 2, 3, 4}
- 2 {4}
- 3 {2, 4}
- 4 {1, 3}
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Correct answer: {1, 3}
The domain is the set of first elements.
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A set with exactly one element is called a:
- 1 Singleton
- 2 Power set
- 3 Universal set
- 4 Empty set
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Correct answer: Singleton
A singleton has one element.
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