Let R be the equivalence relation on the set R of real numbers given by \(R = \{(a, b) : a^{2} = b^{2}\}\). The equivalence class [3] is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\{-3, 3\}\)
The equivalence class [3] is the set of all real x with (x, 3) in R, that is,
\(x^{2} = 3^{2} = 9\)
\(x = 3\) or \(x = -3\)
So \([3] = \{-3, 3\}\).