Answered: For two sets, X and Y , if X ∩ Y = ∅ ,…

For two sets, X and Y , if X ∩ Y = ∅ , then which of the following is true? Choose one answer and explain. Set X and Y are disjoint? Set X and Y are intersecting? Y ⊆ X? None of a, b, or c

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.4: Prime Factors And Greatest Common Divisor

Problem 12TFE: True or false Label each of the following statement as either true or false. Let and , then .

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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

For two sets, X and Y , if X ∩ Y = ∅ , then which of the following is true? Choose one answer and explain.

Set X and Y are disjoint?

Set X and Y are intersecting?

Y ⊆ X?

None of a, b, or c

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Step 1

Given that

For two sets, X and Y,

$X \cap Y = \emptyset$

To find which of the following statement is true:

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For the sets given in Exercise 9, is there a distributive relationship for intersection with respect to union? That is, does ABC=ABAC? A=1,2,3,4, B=2,4,6,8, and C=1,3,5,7,9.
For the sets gives in Exercise 9, is there a distributive relationship for union with respect with respect in intersection? That is does ABC=ABAC? A=1,2,3,4, B=2,4,6,8, and C=1,3,5,7,9.
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