Question

Question 11 If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?

Class XI - Sets Page 18

Answer 1

R : set of real number
Q: set of rational numbers

so R-Q will be the set of irrational numbers

Answer 2

Answer- Let's know about sets first.

Sets- Collection of well-defined objects is called a set.

For example- Set of natural numbers, set of children in class XI, etc.

There are two ways to represent set:

a) Roster or Tabular form

b) Set-Builder form

Sets are represented by various capital letters and their elements are represented by small letters. For example-

Set of Natural Numbers= N

Set of Integers= Z

Set of Rational Numbers= Q

Set of Irrational Numbers= T

Set of Real Numbers= R

We know that real numbers contain both rational and irrational numbers.

So, R= Q + T

R - Q = T

∴ R - Q = Set of Irrational Numbers