Question

Given that the universal set is all real numbers and set S is defined as the set of all x such that x is less than 5, which of the following is the complement of S?

S = {x | x < 5}

{x | x ≠ 5}
{6, 7, 8...}
{x | x > 5}
{x | x ≥ 5}

Answer 1

Complement S^c = {x ∈ R | x ≥ 5}.

Reason: complement means all real numbers not satisfying x < 5, i.e. x ≥ 5.