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

Solution:

It is given that

R: a set of real numbers

Q: a set of rational numbers

The difference between two sets A and B is a set denoted by A - B and is obtained by writing the elements of A that are NOT in B in a set.

Therefore,

R - Q is a set consiting of real numbers that are NOT rational.

i.e., R - Q is a set of irrational numbers

NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.4 Question 11

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

Summary:

It is given that R is the set of real numbers and Q is the set of rational numbers. We have found that R - Q is a set of irrational numbers.