2017 · Q31
Which one of the following is a correct statement ?
Elementary MathematicsSet Theory
- A{x : x + 5 = 5} = ∅
- B{x : x + 5 = 5} = {0}
- C{x : x + 5 = 5} = 0
- D{x : x + 5 = 5} = {∅}
Explanation
The equation x+5 = 5 has the unique solution x = 0, so the set-builder form is the singleton {0}. Hence option (B) {0}. (Trap: confusing the set {0} with the empty set ∅ or with the number 0.)