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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 2.2 - Problem 7e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 2.2 - Problem 7e

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# Prove the domination laws in Table 1 by showing thata) A ?

ISBN: 9780073383095 37

## Solution for problem 7E Chapter 2.2

Discrete Mathematics and Its Applications | 7th Edition

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Problem 7E

Problem 7E

Prove the domination laws in Table 1 by showing that

a) A ∪ U = U.

b) A ∩ ∅ = ∅.

Step-by-Step Solution:

Solution:

Step 1:

 NOTE: A set A is a subset of a set B  , or equivalently  B is  a superset of A , if A is contained inside B, that is all elements of A are also elements of B. A and B may coincide.That is

UNION: The union of  two  sets  A and B  is  the  set containing  all elements that are in A  or in B ( possibly both).

Then it is denoted by    , we can write  if and only if  or .

Note :

Example :

A= { a, b} , B = {b ,c} then .

The union of sets A and B is  shown by the shaded area in the venn diagram:

Step 2 of 3

Step 3 of 3

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