Math Problem Statement

Mathematical queries related to sets: roster form, type of set, cardinality, equality of sets, disjoint or overlapping sets, null set, set builder form, and deriving sets.

Solution

The image appears to contain mathematical questions related to sets and set theory. I will analyze the questions and solve them step by step. Let me extract the details.

Here’s the outline of the questions:

  1. Question (a, b, c):

    • Write the given set in roster form.
    • Identify the type of set.
    • Write the cardinality of A and B.

  2. Question (82):

    • Determine whether sets C and D are equal or equivalent.

  3. Question (83):

    • Check if sets E and F are disjoint or overlapping.

  4. Question (84):

    • Write the null set or an empty set.

  5. Question (85):

    • Write the given set in set builder form (with details of set P and Q).

  6. Question (86):

    • Derive the given set in roster form and write its cardinality.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Roster Form
Set Builder Form
Cardinality of Sets
Equality of Sets
Null Set
Disjoint Sets

Formulas

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
Cardinality (n(S)) = Total elements in the set S

Theorems

Properties of Cardinality
Definitions of Equal and Equivalent Sets

Suitable Grade Level

Grades 7-9

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