LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

FINITE SET

__Finite Set__

**Finite Set, it has been considered that, if the
members of the Set can be counted.**

**For Example–1 )
Y = { 4, 5, 6, 7, 8, 9 }, which has Six members**

**
2) Z = { x/x ****ϵ**** N, x < 50 }, which has 49 members**

**
3) X = { x/x is a letter of the English
alphabet }, which
has 26 members**

**
4) A = { x/x is a letter of the English vowel
}, which has
5 members**

__Please find which following collection of members belongs to Set
__

__Example–1)__** Please find all even whole numbers
less than 15 is Set**

**All the even &
whole numbers under 15 are = 2, 4, 6, 8, 10, 12, 14 **

**This is a set, it is
possible to decide because there are numbers which are members of the
collection.**

__Example–2)__** Please find all odd whole numbers less
than 20 is Set**

**All the even &
whole numbers under 20 are = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19**

**This is a set, it is
possible to decide because there are numbers which are members of the
collection.**

__Example–3)__** All the students who plays cricket **

**This is not a set,
because there is no way to decide whether particular students use to play
cricket or not.**

__Example–4)__** Let, ‘Y’ is the set of the Odd
number and which are multiplication of 3 and less than 20.**

**Odd number,
multiplication of 3 and less than 20 are = 3, 9, 15**

**Whereas 3 ****ϵ**** Y, 9 ****ϵ**** Y, and 15 ****ϵ**** ****Y**