To determine the elements of $ X $ that are in the equivalence class $[b]$ under the equivalence relation $ p $, we need to understand that $ p $ is the set $ X^2 $ of all ordered pairs. This means that every element in $ X $ is related to every other element in $ X $.

Given $ X = \{a, b, c, d\} $ and $ p = X^2 $, the equivalence class $[b]$ includes all elements $ x \in X $ such that $ (b, x) \in p $. Since $ p = X^2 $, it includes all possible pairs, meaning every element in $ X $ is related to $ b $.

Therefore, the elements of $ X $ in the equivalence class $[b]$ are:
- $ a $
- $ b $
- $ c $
- $ d $

So, the correct answer is:
A. a
B. b
C. c
D. d

Question

To determine the elements of $ X $ that are in the equivalence class $[b]$ under the equivalence relation $ p $, we need to understand that $ p $ is the set $ X^2 $ of all ordered pairs. This means that every element in $ X $ is related to every other element in $ X $.

Given $ X = \{a, b, c, d\} $ and $ p = X^2 $, the equivalence class $[b]$ includes all elements $ x \in X $ such that $ (b, x) \in p $. Since $ p = X^2 $, it includes all possible pairs, meaning every element in $ X $ is related to $ b $.

Therefore, the elements of $ X $ in the equivalence class $[b]$ are:
- $ a $
- $ b $
- $ c $
- $ d $

So, the correct answer is:
A. a
B. b
C. c
D. d

Knowee AI · Accepted Answer

To determine the elements of $ X $ that are in the equivalence class $[b]$ under the equivalence relation $ p $, we need to understand that $ p $ is the set $ X^2 $ of all ordered pairs. This means that every element in $ X $ is related to every other element in $ X $.

Given $ X = \{a, b, c, d\} $ and $ p = X^2 $, the equivalence class $[b]$ includes all elements $ x \in X $ such that $ (b, x) \in p $. Since $ p = X^2 $, it includes all possible pairs, meaning every element in $ X $ is related to $ b $.

Therefore, the elements of $ X $ in the equivalence class $[b]$ are:
- $ a $
- $ b $
- $ c $
- $ d $

So, the correct answer is:
A. a
B. b
C. c
D. d

An equivalence relation p on X = {a,b,c,d} is the setp = X^2of all ordered pairs. Which elements of X are in the equivalence class [b]? A a B b C c D d E None of them

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