Answer the 2 questions, will upvote if complete, short solution/explanation will dopls do not reject. thanks Given sets A = {1, 2} and B = {2, 3}. What is the cardinality of the power set of Au B?O 10O 16O None of the choices Determine whether the ff. proof is valid:"Theorem:" For all sets A and B, A° U B° C(A U B)°."Proof: Suppose A and B are any sets, andxE A°U B°. Then x E A° or x E Bº by definitionof union. It follows that x A or x¢ B_bydefinition of complement, and so x¢ AU Bby definition of union. Thus xE (A U B)°by definition of complement, and henceA° U B° C (A U B)°."O Yes, it is validO Not validO MaybeO Insufficient information to find the answer

A= { 1, 2 } and B={ 2, 3 }. Then A ∪B = { 1, 2, 3 }. The power set of A ∪B is { { },{1}, {2},…

Answered: ven setS 8 10 16

Engineering

Computer Science

ven setS 8 10 16

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Answer the 2 questions, will upvote if complete, short solution/explanation will do
pls do not reject. thanks

Given sets A = {1, 2} and B = {2, 3}. What is the cardinality of the power set of Au B?
O 10
O 16
O None of the choices

Determine whether the ff. proof is valid:
"Theorem:" For all sets A and B, A° U B° C
(A U B)°.
"Proof: Suppose A and B are any sets, and
xE A°U B°. Then x E A° or x E Bº by definition
of union. It follows that x A or x¢ B_by
definition of complement, and so x¢ AU B
by definition of union. Thus xE (A U B)°
by definition of complement, and hence
A° U B° C (A U B)°."
O Yes, it is valid
O Not valid
O Maybe
O Insufficient information to find the answer

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