A={x |x≠x} represents
A={x |x≠x} represents
- A.
{x}
- B.
{1}
- C.
{}
- D.
{0}
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Correct answer: C
Answer: {} (the empty set)
Explanation:
The set-builder {x | x ≠ x} means all elements x that satisfy the condition x ≠ x.
For any object x, the statement x = x is always true (equality is reflexive), so x ≠ x is always false.
Because no element satisfies the condition, the set contains no elements; therefore it is the empty set, written {} (or ∅).