Question

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The successor of the set A is the set A u {A}. Identify the successor of the given set. $\{1, 2, 3\}$ Multiple Choice $\{1, 2, 3\}$ $\{1, 2, 3, \{1, 2\}\}$ $\{1, 2, 3, \{1\}, \{2\}, \{3\}\}$ $\{1, 2, 3, \{1, 2, 3\}\}$

          NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
The successor of the set A is the set A u {A}. Identify the successor of the given set.
$\{1, 2, 3\}$
Multiple Choice
$\{1, 2, 3\}$
$\{1, 2, 3, \{1, 2\}\}$
$\{1, 2, 3, \{1\}, \{2\}, \{3\}\}$
$\{1, 2, 3, \{1, 2, 3\}\}$

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note this is a multi part question once an answer is submitted you will be unable to return to this part the successor of the set a is the set a u a identify the successor of the given set 1 53124

Added by Grace P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Mengchun Cai

10/10/2023

Step 1

The successor of the set A is defined as $A \cup \{A\}$. Therefore, the successor of A is $\{1, 2, 3\} \cup \{\{1, 2, 3\}\}$. Show more…

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NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The successor of the set A is the set A u {A}. Identify the successor of the given set. $\{1, 2, 3\}$ Multiple Choice $\{1, 2, 3\}$ $\{1, 2, 3, \{1, 2\}\}$ $\{1, 2, 3, \{1\}, \{2\}, \{3\}\}$ $\{1, 2, 3, \{1, 2, 3\}\}$

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Transcript

00:01 Here we're required to write down the successor set, or successor of a given set a.

00:09 I mean, the successor of the set a.

00:11 For any set a, the successor would be equal to a union.

00:18 The set of a, okay? let's explain what does that mean by some example.

00:26 Okay, let's consider first, now our a is a set containing one, two, three.

00:33 Then by definition, let's call it sa.

00:36 Goodbye.

00:38 Sa will be equal to, this is our a, okay? no, we should first write down a union, the set a.

00:52 Okay, first, let's just write down our a.

00:57 A will be just equal to the set containing one, two, three.

01:05 What is a set a? the set a is a set of a set containing one, two.

01:14 Let's say we have two parentheses here.

01:17 So if we union those two things, we'll get a larger set, which first, it contains one, two, three.

01:25 Second, it contains a set one, two, three.

01:31 Okay, so this guy is the whole set.

01:38 Okay, now let's consider the second example.

01:40 What if a is just an empty set? then by the definition, sa will be equal to, this a union, the set of empty set.

01:55 So again, it will contain two things...

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