Question

The universal set is the set of rational numbers. S is the set of integers. Which represents Sc?

Answer 1

Sc represents the set of rational that are not integers.

• Set U represents the universal set, which is the the set of all rational numbers,  whereas set S represents the set of all integers.
• Sc is the complement of the set S.
• If U represents every number and S represents every integers, then all numbers that are not integers are the complement of S.
• Thus, Sc = U - S = Every rational number - The set of integers
• Therefore Sc will represent the set of rational which are not integers.

Answer 2

D. {x|x is a rational non-integer}