Answer:
A = C₁ U C₂ U C₄ = ,
C₁ = 'class of one' = {1}
C₂ = 'class of two' = {2,3}
C₄ = 'class of four' = {4,5,6}
Step-by-step explanation:
We need to find the equivalence classes of A. Since 1 does only relates to itself, then the class of 1 only has 1 element, which is 1 itself.
2, apart from itself, only does relate with 3. Thus, the equivalence class of 2 contains 2 elements: 2 and 3 (note that 3 also relates only with 2 apart fromm itself.
The remaining 3 elements, 4, 5 and 6 relate between each other, thus, they form an entire equivalence class, the equivalence class of 4.
Those are the equivalence classes of A.
