Solutions To Mathematics Textbooks/Proofs and Fundamentals/Chapter 3

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Exercise 3.2.1[edit]

3, namely and

Exercise 3.2.2[edit]

1. False

2. True

3. True

4. False

5. False

6. False

7. False

8. True

9. True

Exercise 3.2.3[edit]

1[edit]

The set of even integers

2[edit]

3[edit]

The set of all rational numbers.

Exercise 3.2.4[edit]

1[edit]

The set of all fathers

2[edit]

The set of all grandparents

3[edit]

The set of all people that are married to a woman

4[edit]

The set of all siblings

5[edit]

The set of all people that are younger than someone

6[edit]

The set of all people that are older than their father

Exercise 3.2.5[edit]

1[edit]

2[edit]

there exist such that

3[edit]

there exist such that

4[edit]

5[edit]

there exist such that

Exercise 3.2.6[edit]

Exercise 3.2.7[edit]

Exercise 3.2.8[edit]

ethan de bloach where are you boss ,please provide a solution manual for your book

Exercise 3.2.9[edit]

A = {1,2}, B = {1,{1,2}}

Exercise 3.2.10[edit]

Using the definition of a subset: For any xA, then xB, and because xB, xC. The same goes for any yB or any zC.


Exercise 3.2.11[edit]

Exercise 3.2.12[edit]

Exercise 3.2.13[edit]

Exercise 3.2.14[edit]

Bhotne kay khud kuch nahe karna bas sara is website se dekh kar chapna.

Exercise 3.2.15[edit]

1[edit]

2[edit]

<math>\mathcal P( \mathcal P ( \{ \emptyset \} ) = \{ \emptyset, \{ \emptyset \}, \{ \{ \