Math Problem Statement

Укажите результат операции A ∩ B. В ответе укажите эти числа без пробелов и запятых в порядке возрастания. Если множество пустое, укажите цифру 0.

Solution

From the image, the problem involves finding the intersection of two sets, ABA \cap B. Here's the detailed solution:

Sets provided:

  • U={0,1,2,3,4,5,6,7,8,9}U = \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\} (Universal set)
  • A={2,4,6,8}A = \{2, 4, 6, 8\}
  • B={2,3,4,5}B = \{2, 3, 4, 5\}
  • C={1,3,5,7,9}C = \{1, 3, 5, 7, 9\} (not relevant for this task)

Operation:

We need to calculate: ABA \cap B

Intersection rule:

The intersection of two sets consists of elements that are common to both sets.

Step-by-step process:

  1. Elements in AA: {2,4,6,8}\{2, 4, 6, 8\}
  2. Elements in BB: {2,3,4,5}\{2, 3, 4, 5\}
  3. Common elements between AA and BB: {2,4}\{2, 4\}

Result:

The intersection AB={2,4}A \cap B = \{2, 4\}.

Final answer:

Write the elements in increasing order without spaces or commas:
24


Do you have any additional questions or need further clarification?
Here are 5 related questions for practice:

  1. What is BCB \cap C?
  2. What is ABA \cup B (union of AA and BB)?
  3. If D={0,4,6}D = \{0, 4, 6\}, what is ADA \cap D?
  4. How many subsets does AA have?
  5. If UU is the universal set, what is AA' (the complement of AA)?

Tip: The intersection of sets always contains elements that are part of both sets, never outside.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Intersection of Sets

Formulas

A ∩ B = {x | x ∈ A and x ∈ B}

Theorems

Intersection of sets contains all elements common to both sets.

Suitable Grade Level

Grades 6-8