Numerical Systems and Set Theory Quiz

<p>9 (B)</p> Signup and view all the answers

<p>It determines the symbols used and their values. (D)</p> Signup and view all the answers

<p>{1, 3} (B)</p> Signup and view all the answers

<p>{5, 7} (B)</p> Signup and view all the answers

<p>{3} (B)</p> Signup and view all the answers

<p>{2, 4, 6, 8, 9} (C)</p> Signup and view all the answers

<p>The union is {1, 3, 4, 5, 7, 9} (A)</p> Signup and view all the answers

<p>Set A itself (D)</p> Signup and view all the answers

<p>Set B only (D)</p> Signup and view all the answers

<p>The result remains the same regardless of grouping. (B)</p> Signup and view all the answers

<p>Union of the intersection of A with B and A with C (B)</p> Signup and view all the answers

<p>Items in a set must be distinct and share a common characteristic. (C)</p> Signup and view all the answers

<p>Union of A with the intersection of B and C equals the intersection of the union of A with B and C. (A)</p> Signup and view all the answers

<p>It is possible to determine if an item belongs to the set without ambiguity. (A)</p> Signup and view all the answers

<p>The remainder from each division operation. (B)</p> Signup and view all the answers

<p>Each element must be distinct from the other elements in the set. (D)</p> Signup and view all the answers

<p>111000₂ (B)</p> Signup and view all the answers

<p>All elements present in either set A or set B or both (B)</p> Signup and view all the answers

<p>Elements that are in both set A and set B (B)</p> Signup and view all the answers

<p>(A ∪ B)c (D)</p> Signup and view all the answers

<p>Elements present in set A that are not in set B (B)</p> Signup and view all the answers

<p>{1, 2, 3, 4, 5, 6, 7, 8, 9, 10} (C)</p> Signup and view all the answers

A set of elements and symbols used for counting and measurement.

A system where a symbol's value depends on its position in the number.

A system where numbers represent sums or differences of symbols.

The number of unique digits used in a positional system.

The process of transforming a base 10 number into binary format.

The union of a set with an empty set equals the original set (A ∪ ∅ = A).

The order of sets in a union does not affect the result (A ∪ B = B ∪ A).

Grouping sets in a union does not change the result (A ∪ (B ∪ C) = (A ∪ B) ∪ C).

The union of a set with the intersection of two sets equals the intersection of the union with each set (A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)).

Grouping sets in an intersection does not affect the result (A ∩ (B ∩ C) = (A ∩ B) ∩ C).

Mathematical procedures involving sets such as union, intersection, and difference.

The elements that belong to one set but not another, denoted as A - B.

The elements common to both sets, denoted as A ∩ B.

All unique elements from both sets, denoted as A ∪ B.

Symbols used to represent set operations, like ∩ for intersection and - for difference.

A collection of distinct items sharing a common characteristic.

Property that ensures each element in a set is unique.

Each item in a set can be clearly identified as belonging to it.

Requirement that each element in a set must differ from others.

The total number of elements in a set.

The union (A∪B) includes all elements in A, B, or both.

The intersection (A∩B) contains elements common to both sets A and B.

The complement (Ac) contains elements not in set A but in the universal set U.

The difference (A-B) includes elements in A that are not in B.

States (A∪B)c = Ac∩Bc and (A∩B)c = Ac∪Bc.