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

Which represents Sc?

Respuesta :

The universal set is the set of rational numbers. S is the set of integers. represents by the below:

{x|x is a rational non-integer}

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Answer:

The set of numbers of the form [tex]\frac{p}{q}[/tex] , q≠0 and q≠ 1 or -1.

Step-by-step explanation:

We have that,

U = the universal set = the set of all rational numbers

S = set of all integers.

It is required to find [tex]S^{c}[/tex].

Now, [tex]S^{c}[/tex] is the complement of the set S.

i.e. [tex]S^{c}[/tex] = U - S = set if rational numbers - set of integers

i.e. [tex]S^{c}[/tex] = the set of rationals which are not integers i.e. the set of points of the form [tex]\frac{p}{q}[/tex] , q≠0 and q≠ 1 or -1.