   Chapter 6.3, Problem 22ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Write a negation for each of the following atatement. Indicate which is true, the statementor its negation. Justify your answer. ∀ set S , ∃ a set T such that S ∩ T = ∅ . ∃ a set S such that ∀ sets, T , S ∪ T = ∅ .

To determine

(a)

To Prove:

Write a negation for each of the following statements. Indicate which is true, the statement or its negation. Justify your answers.

sets S, a set T such that ST=ϕ

Explanation

Given information

sets S, a set T such that ST=ϕ

Concept used:

A negation of a statement P is a statement that is true whenever P is false and false whenever P is true.

Calculation:

Consider the following statement.

sets S, a set T such that ST=

The objective is to write the negation for the above statement and then verify which is true.

A negation of a statement P is a statement that is true whenever P is false and false whenever P is true

To determine

(b)

To Prove:

Write a negation for each of the following statements. Indicate which is true, the statement or its negation. Justify your answers.

a set S, such that setsT,  ST=

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