Math Problem Statement
Let A = {2, 3, 5, 6, 7, 8} and B = {1, 5, 8}. Indicate if each statement is true or false.
Solution
Let's evaluate each statement given sets and :
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: True.
- The number 5 is an element of set .
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: True.
- The number 1 is an element of set .
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: True.
- The number 8 is an element of both sets and , so it belongs to their intersection .
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: False.
- The number 3 is not an element of set .
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: False.
- Set is not a subset of set because contains elements (e.g., 2, 3, 6, 7) that are not in .
If you have any questions or need further details, feel free to ask!
Here are five related questions to explore further:
- What is the union of sets and ?
- What is the difference ?
- If , is ?
- How many elements are in the intersection ?
- What is the complement of relative to the universal set if ?
Tip: When determining if one set is a subset of another, ensure every element in the first set is also in the second set.
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Math Problem Analysis
Mathematical Concepts
Set theory
Formulas
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Theorems
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Suitable Grade Level
High school