Question

The universal set is the set of rational numbers. S is the set of integers.

Which represents Sº?
{x\x is a real number}
x is a rational number
{xlx is a rational positive number}
{x|x is a rational non-integer)

Answer 1

Answer: x is a rational non-integer

Explanation:

Answer 2

`S^c` contains the set of number which are non-integer.

Therefore, x is a rational non-integer is the correct option.

Explanation:

Given

• U = The universal set is the set of rational numbers

• S = The set of integers

As

• 
  `S^c` is basically the complement of the set S i.e. the set of integers.

It means

`S^c=U-S`

= The set of rational numbers - The set of integers

In other words,
`S^c` contains the set of number which are non-integer.

Therefore, x is a rational non-integer is the correct option.