Question

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

Which represents 5?

xlx is a rational non-integer]

Ixlx is a real number}

xx is a rational positive number]

xix is a rational number}

Answer 1

(D)x|x is a rational number.

Explanation:

Given that:

The universal set, U is the set of rational numbers.

S is the set of integers.

Rational Numbers are numbers in the form
`(a)/(b)`, b≠0. They are denoted using ℚ.

The set of Integers on the other hand are the set of all positive and negative whole numbers inclusive of zero. They are denoted by ℝ.

Since the Universal Set is ℚ, the set S∈ℝ⊂ℚ (S is a Subset of the set of Rational Numbers). That is, every element in S is a rational number.

Therefore, every x in S is defined as:

x|x is a rational number.