Question

If R is the set of real numbers and Q is the set of rational numbers, then what is R - Q?

Answer 1

concept :- A - B shows the relative complement of the set, which represents members of set A which are not part of set B. see figure , here shaded region is shown, this shaded region indicates A - B.

A/C to question,
R is the set of all real numbers.
means, R is the set of rational and irrational numbers [ because real numbers are group of rational and irrational numbers ]

and Q is the set of rational number.

so, R - Q = S
where S is the set of irrational number.

Answer 2

Solution :

We know that , Union of Rational

and irrational numbers is called

Real numbers set.

|R = Q U Q'

R-Q ={x:x€R and x doesn't belongs to Q}

= Q'

= Irrational number set

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