Create a flow proof of each of the following results. Remember in a flow proof each step should be a single statement (in a box or on a line), and each arrow should be labeled with the appropriate justification (definition or property). 1. For any sets A and B, P(A) UP(B) ≤ P(AUB). (Hint: The elements of P(A), the power set of A, are the subsets of A.) 2. For every odd integer n, 7n + 5 is an even integer. 3. For all rational numbers r and s, r+s is rational. By the way, this result is known as the Closure Property of Rational Numbers under Addition. 4. For any sets A, B, and C, An(BNC) ≤ (A\B) U (A \ C).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Create a flow proof of each of the following results. Remember in a flow proof each step should be a
single statement (in a box or on a line), and each arrow should be labeled with the appropriate justification
(definition or property).
1. For any sets A and B, P(A) UP(B) ≤ P(AUB).
(Hint: The elements of P(A), the power set of A, are the subsets of A.)
2. For every odd integer n, 7n + 5 is an even integer.
3. For all rational numbers r and s, r+s is rational.
By the way, this result is known as the Closure Property of Rational Numbers under Addition.
4. For any sets A, B, and C, An(BNC) ≤ (A\B) U (A \ C).
Transcribed Image Text:Create a flow proof of each of the following results. Remember in a flow proof each step should be a single statement (in a box or on a line), and each arrow should be labeled with the appropriate justification (definition or property). 1. For any sets A and B, P(A) UP(B) ≤ P(AUB). (Hint: The elements of P(A), the power set of A, are the subsets of A.) 2. For every odd integer n, 7n + 5 is an even integer. 3. For all rational numbers r and s, r+s is rational. By the way, this result is known as the Closure Property of Rational Numbers under Addition. 4. For any sets A, B, and C, An(BNC) ≤ (A\B) U (A \ C).
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