Mathematics · Set Theory and Relations
Let ε = 0.0005, and let Re be a relation on R2 defined as Re = {(x, y) ∈ R2 : |x - y| < ε}. Under this interpretation, the relation Re (representing 'approximately equal') is: (A) Reflexive (B) Symmetric (C) Transitive Choose the correct answer from the options given below:
- 1(A), (B) and (C)
- 2(A) and (C) only
- 3(B) and (C) only
- 4(A) and (B) only✓
Correct answer
(A) and (B) only
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