The following statement is false: If A₁ A₂ A3 = Ø, then |A₁ U A2 U A3| = |A1| + |A2| + |A3|. Provide an example of three sets A1, A2, A3 that proves the statement false. Then correct the "if" part of the statement to make it true (see the addition principle).
The following statement is false: If A₁ A₂ A3 = Ø, then |A₁ U A2 U A3| = |A1| + |A2| + |A3|. Provide an example of three sets A1, A2, A3 that proves the statement false. Then correct the "if" part of the statement to make it true (see the addition principle).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 10TFE
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discrete math
![The following statement is false:
If A₁ A₂ A3 = Ø, then |A₁ U A2 U A3| = |A1| + |A₂|+|A3|.
Provide an example of three sets A₁, A2, A3 that proves the statement false. Then
correct the "if" part of the statement to make it true (see the addition principle).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe73d2f7-f48d-4799-ad26-f906d4f73fa5%2Fb45f8471-965b-469e-99d2-fe9ac0552f91%2Fbiosssg_processed.png&w=3840&q=75)
Transcribed Image Text:The following statement is false:
If A₁ A₂ A3 = Ø, then |A₁ U A2 U A3| = |A1| + |A₂|+|A3|.
Provide an example of three sets A₁, A2, A3 that proves the statement false. Then
correct the "if" part of the statement to make it true (see the addition principle).
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