#### Question

Let A = {1, 2, 3,......, 9} and R be the relation in A × A defined by (*a*, *b*) R (*c*, *d*) if *a* + *d* = *b* + *c* for (*a*, *b*), (*c*, *d*) in A × A. Prove that R is an equivalence relation. Also, obtain the equivalence class [(2, 5)].

clickto share

#### Solution

You need to to view the solution

Is there an error in this question or solution?

#### APPEARS IN

#### Related Questions VIEW ALL [5]

#### Reference Material

Solution for question: Let A = {1, 2, 3,......, 9} and R be the relation in A × A defined by (a, b) R (c, d) if a + d = b + c for (a, b), (c, d) in A × A. Prove that R is an equivalence relation. Also, obtain the equivalence class [(2, 5)]. concept: Types of Relations. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science), PUC Karnataka Science