To express: The fact in the form of an if-then statement about R , S and elements of A .

Question

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Answer 1

Question

Chapter 3, Problem 1ST

To determine

To express: The fact in the form of an if-then statement about R, S and elements of A .

Expert Solution & Answer

Explanation of Solution

Given: The given fact is R⊆S .

For the two relation R and S on set A and R⊆S , then all the elements in relation R also present in S .

∀x, y∈A, (x, y)∈R

Then,

(x, y)∈S

The above fact in if-then format is written as,

For elements a,b∈A if aRb then aSb .

Therefore, the fact in if-then form is written as, “For elements a,b∈A if aRb then aSb .”

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Answer 2

Question

Chapter 3, Problem 1ST

To determine

To express: The fact in the form of an if-then statement about R, S and elements of A .

Expert Solution & Answer

Explanation of Solution

Given: The given fact is R⊆S .

For the two relation R and S on set A and R⊆S , then all the elements in relation R also present in S .

∀x, y∈A, (x, y)∈R

Then,

(x, y)∈S

The above fact in if-then format is written as,

For elements a,b∈A if aRb then aSb .

Therefore, the fact in if-then form is written as, “For elements a,b∈A if aRb then aSb .”

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Answer 3

Question

Chapter 3, Problem 1ST

To determine

To express: The fact in the form of an if-then statement about R, S and elements of A .

Expert Solution & Answer

Explanation of Solution

Given: The given fact is R⊆S .

For the two relation R and S on set A and R⊆S , then all the elements in relation R also present in S .

∀x, y∈A, (x, y)∈R

Then,

(x, y)∈S

The above fact in if-then format is written as,

For elements a,b∈A if aRb then aSb .

Therefore, the fact in if-then form is written as, “For elements a,b∈A if aRb then aSb .”

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 3, Problem 1ST

To determine

To express: The fact in the form of an if-then statement about R, S and elements of A .

Expert Solution & Answer

Explanation of Solution

Given: The given fact is R⊆S .

For the two relation R and S on set A and R⊆S , then all the elements in relation R also present in S .

∀x, y∈A, (x, y)∈R

Then,

(x, y)∈S

The above fact in if-then format is written as,

For elements a,b∈A if aRb then aSb .

Therefore, the fact in if-then form is written as, “For elements a,b∈A if aRb then aSb .”

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 3, Problem 1ST

To determine

To express: The fact in the form of an if-then statement about R, S and elements of A .

Expert Solution & Answer

Explanation of Solution

Given: The given fact is R⊆S .

For the two relation R and S on set A and R⊆S , then all the elements in relation R also present in S .

∀x, y∈A, (x, y)∈R

Then,

(x, y)∈S

The above fact in if-then format is written as,

For elements a,b∈A if aRb then aSb .

Therefore, the fact in if-then form is written as, “For elements a,b∈A if aRb then aSb .”

Answer 6

Chapter 3, Problem 1ST

To determine

To express: The fact in the form of an if-then statement about R, S and elements of A .

Expert Solution & Answer

Explanation of Solution

Given: The given fact is R⊆S .

For the two relation R and S on set A and R⊆S , then all the elements in relation R also present in S .

∀x, y∈A, (x, y)∈R

Then,

(x, y)∈S

The above fact in if-then format is written as,

For elements a,b∈A if aRb then aSb .

Therefore, the fact in if-then form is written as, “For elements a,b∈A if aRb then aSb .”

Answer 7

Chapter 3, Problem 1ST

To determine

To express: The fact in the form of an if-then statement about R, S and elements of A .

Answer 8

Expert Solution & Answer

Explanation of Solution

Given: The given fact is R⊆S .

For the two relation R and S on set A and R⊆S , then all the elements in relation R also present in S .

∀x, y∈A, (x, y)∈R

Then,

(x, y)∈S

The above fact in if-then format is written as,

For elements a,b∈A if aRb then aSb .

Therefore, the fact in if-then form is written as, “For elements a,b∈A if aRb then aSb .”

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Ch. 3.14 - Write the following relations on the set 1,2,3,4,5...Ch. 3.14 - Prob. 14.2E Ch. 3.14 - Prob. 14.3E Ch. 3.14 - For each of the following relations on the set of...Ch. 3.14 - Prob. 14.5E Ch. 3.14 - Prob. 14.6E Ch. 3.14 - Prob. 14.7E Ch. 3.14 - Prob. 14.8E Ch. 3.14 - Prob. 14.9E Ch. 3.14 - Prob. 14.10E

To express: The fact in the form of an if-then statement about R , S and elements of A .

Concept explainers

To express: The fact in the form of an if-then statement about R, S and elements of A .

Explanation of Solution

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Chapter 3 Solutions