given that the universal set is all real numbers and set s is defined as the set of all x such that x is…

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?\ns = {x | x < 5}\n○ {x | x ≠ 5}\n○ {6, 7, 8...}\n○ {x | x > 5}\n○ {x | x ≥ 5}

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?\ns = {x | x < 5}\n○ {x | x ≠ 5}\n○ {6, 7, 8...}\n○ {x | x > 5}\n○ {x | x ≥ 5}

Answer

Explanation:

Step1: Recall the definition of complement set

The complement of a set (S), denoted as (S'), is the set of all elements in the universal set that are not in (S).

Step2: Analyze the given set (S)

Given (S={x|x < 5}), and the universal set (U=\mathbb{R}) (all real numbers).

Step3: Determine the complement of (S)

The complement (S') consists of all real numbers (x) such that (x) is not less than (5). That is (x\geq5).

Answer:

({x|x\geq5})