If X= { a, b, c, d } and Y = { f, b, d, g}, find (i) X – Y (ii) Y – X (iii) X ∩ Y

Solution:

In mathematics, a set is a well-defined collection of objects. Sets are named and represented using a capital letter.

In the set theory, the elements that a set comprises can be any kind of thing: people, letters of the alphabet, numbers, shapes, variables, etc

The given sets are:

X= { a, b, c, d } and Y = { f, b, d, g}.

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.

Thus,

(i) X - Y = {a, c}

(ii) Y - X = { f , g}

(ii) X ∩ Y = {b, d}

NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.4 Question 10

If X= { a, b, c, d } and Y = { f, b, d, g}, find (i) X – Y (ii) Y – X (iii) X ∩ Y

Summary:

It is given that X = {a, b, c, d} and Y = {f, b, d, g}. We have found that X - Y = {a, c} , Y - X = { f , g}, X ∩ Y = {b, d}.