Math Problem Statement

Given sets A, B, and C defined by inequalities (e.g., A = {x | -2 ≤ x < -1}), find the results of operations like (A ∩ B) ∪ C and determine if statements are true or false.

Solution

The image you've uploaded is a page from a mathematics textbook in Indonesian, specifically focusing on set theory and possibly inequalities based on the symbols visible. Here’s an interpretation of the content in question:

  1. Identifying Set Operations: Questions on this page appear to involve operations such as intersections (∩), unions (∪), and set differences. For instance:

    • There are questions labeled with options like (AB)C(A \cap B) \cup C and (AB)C(A \cup B) \cap C, which are asking about the results of these set operations given certain conditions.
  2. Solution Verification: Some questions seem to test whether certain statements about sets are "True" (Benar) or "False" (Salah).

  3. Interpreting Specific Sets: The problems use defined sets like AA, BB, and CC, which are specified in terms of inequalities (e.g., 2x<1-2 \leq x < -1 and 1x<1-1 \leq x < 1). Understanding these inequalities in relation to the set operations is key.

Would you like assistance with any specific question from this page, such as solving or verifying an answer?


Suggested Follow-up Questions:

  1. Could you specify which question you would like a solution for?
  2. Are you looking for an explanation of how to handle inequalities in set operations?
  3. Do you need help understanding how to approach set union and intersection problems?
  4. Are there any particular set symbols or operations you'd like clarified?
  5. Would you like a detailed breakdown of any one question’s solution?

Tip:

When solving set operations with inequalities, draw a number line to visually represent the intervals; this often makes it easier to determine intersections and unions.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Inequalities
Union and Intersection of Sets

Formulas

Set Union: A ∪ B
Set Intersection: A ∩ B

Theorems

Properties of Set Operations

Suitable Grade Level

High School (Grades 10-12)