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Let and . Indicate if each statement is true or false.
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Select an answer
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Ask by Clark Ellis. in the United States
Mar 22,2025

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is True and is True.

Solución

Let’s evaluate each statement one by one.
  1. Statement:
    • The set is given as .
    • Since is listed in set , this statement is True.
  2. Statement:
    • The set is given as .
    • To determine if is a subset of , we check if all elements of are also in .
    • The elements , , and are all present in set .
    • Therefore, this statement is also True.
Now, let’s summarize the answers:
  1. : True
  2. : True

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Extra Insights

Sure! Here’s some engaging background and application related to sets that might spark your interest.
The concept of sets dates back to the early 20th century, primarily through the work of mathematician Georg Cantor. He introduced the idea of grouping numbers, objects, or concepts into collections, which are central to various areas of mathematics. The simplicity of sets is a gateway to more complex topics like functions, relations, and even topology! It’s fascinating how something so simple can build to such intricate structures.
Sets are omnipresent in real life! For instance, if you’re organizing a party, you might think of a guest list as a set. Each guest is a member of the set, and you can easily determine who is invited by checking against your guest list. Similarly, this concept is used in computer science for data management, enabling efficient queries and operations. So, understanding the basics of sets can help you navigate the complexities of both math and everyday life!

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