LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

INFINITE SET

__INFINITE SET__

**Infinite Set, if the
members of the Set is countless **

**It is not easy to
write infinite sets in the tabular form because it is not possible to make a
list of an infinite number of members. We do write the special sets like, A, B,
C, D, E, F, G in the tabular form as given below -**

**For Example–**

**1) The Set ‘A’ of
whole numbers, i.e. A = { 0, 1, 2, 3, 4, ………} **

**2) The Set ‘B’ of
natural numbers, i.e. B = { 1, 2, 3, 4, 5, ……….}**

**3) The Set ‘C’ of odd
natural numbers, i.e. = { x/x is an odd natural numbers } = {…….,-5, -4,
-3, -2, -1, 0, 1, 2, 3, 4, 5,………}**

**4) The Sets ‘D’ of
odd positive numbers, i.e. = { 1, 3, 5, 7,………….}**

**5) The Sets ‘E’ of
odd negative numbers, i.e. = {…….,-5, -4, -3, -2, -1, 0,…...}**

**6) The Sets ‘F’ of
even positive numbers, i.e. = { 2, 4, 6, 8, 10, 12, ………..}**

**7) The Sets ‘G’ of
odd negative numbers, i.e. = {-2, -3, -4, -5, -6,……….}**

__Identify the finite & Infinite Set among -__

__Example – 1__

**Identify the finite
& Infinite Set among the following – ‘X’ = { 2, 3, 4, 5, 6, 7, 8, 9, 10 }**

**Set ‘X’ has a limited
number of members, so set ‘X’ is the Finite number Set.**

__Example – 2__

**Identify the finite
& Infinite Set among the following - ‘A’ = { 1, 2, 3, 4, 5, 6,……….. }**

**Set ‘A’ has an unlimited number of members, so ‘A’ is an Infinite number set.**

__Example – 3__

**Z = { x / x = 2n – 2
, n ****ϵ**** Z , 2 < n < 15 }**

**Ans.) (2n
– 2) = 2*3 – 2, 2*4 – 2, 2*5 – 2, 2*6 – 2, 2*7 – 2, 2*8 – 2 = 4, 6, 8,
10, 12, 14 **

**So, Z = { 4, 6, 8,
10, 12, 14 }**

__Example – 4__

**‘B’ = { x / x = 2n+3,
n ****ϵ****
B, 4 < n < 20 } (n =1, 2, 3, 4, 5,……)**

**Ans.) 2n+3 = 2*1+3, 2*2 +
3, 2*3 + 3, 2*4 + 3, 2*5 + 3, 2*6 + 3, 2*7 + 3 = 5, 7, 9, 11, 13, 15, 17, 19**

**B = { 5, 7, 9, 11,
13, 15, 17, 19 }**