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INTRO TO DISCRETE MATHS TEST QUESTIONS WITH CORRECT DETAILED ANSWERS

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INTRO TO DISCRETE MATHS TEST QUESTIONS WITH CORRECT DETAILED ANSWERS The union of a collection of sets is the set that - Answer-contains those elements that are members of at least one set in the collection. The intersection of a collection of sets is the set that - Answer-contains those eleme...

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  • October 22, 2024
  • 10
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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  • intro to discrete maths
  • intro to discrete maths test questions
  • the union of a collection of sets is the set that

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INTRO TO DISCRETE MATHS TEST
QUESTIONS WITH CORRECT DETAILED
ANSWERS
The union of a collection of sets is the set that - Answer-contains those elements that
are members of at least one set in the collection.

The intersection of a collection of sets is the set that - Answer-contains those elements
that are members of all the sets in the collection

Let U = {1,2,3,4,5,6,7,8,9} be the universal set, and let A= {2,3,4,7,8}. Select all that are
members of ā.

1. 5
2. 1
3. 8
4. 10
5. 4 - Answer-1. 5
2. 1

These numbers are not in A, so they are in the complement of A.

Match the logic set builder notation to the set notation.

1. {x | x ∈ A v x ∈ B}
2. {x | x ∈ A ^ x ∈ B}
3. {x | x ∈ A ^ x ∉ B}
4. {x | x ∈ B ^ x ∉ A}
5. {x | x ∈ U ^ x ∉ A} - Answer-1. A U B
2. A ⋂ B
3. A - B
4. B - A
5. ā

Let U = {1,2,3,4,5,6,7,8} be a universal set, and the ordering of elements of U has the
elements in increasing order. A set A has bit string representation 10110101. Select all
that are members of A.

1. 7.
2. 4
3. 2
4. 8
5. 6
6. 3 - Answer-2. 4

, The bit in the fourth position is 1, so 4 ∈ A
4. 8
The bit in the final position is 1, so 8 ∈ A
5. 6
The bit in the sixth position is 1, so 6 ∈ A
6. 3
The bit in the third position is 1, so 3 ∈ A

Match each interval with its set builder description.

1. (0,1)
2. [0,1)
3. (0,1]
4. [0,1] - Answer-1. {x | 0 < x <1}
2. {x | 0 =< x <1}
3. {x | 0 < x =<1}
4. {x | 0 =< x =<1}

Match the statement with the task needed to prove it.

1. A ⊆ B
2. A ⊄ B
3. A = B
4. A = Ø
5. A =/ Ø - Answer-1. Show that if x ∈ A, then x ∈ B
2. Find a single x ∈ A, such that x ∉ B
3. Show that A ⊆ B and B ⊆ A.
4. Show that A ⊆ Ø
5. Find a single x ∈ A

Match the set to it's size.

1. Ø
2. {Ø,{Ø}}
3. {Ø,Ø}
4. The set of letters in the english alphabet
5. {a, b, S} where S is the set of letters in the English Alphabet
6. Z - Answer-1. 0
The size of the empty set is 0
2. 2
This set contains Ø and {Ø}
3. 1
This set contains one element. Repetition doesn't matter.
4. 26
There are 26 letters.
5. 3
This set contains two letters and one set
6. infinite
There are an infinite number of integers

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