LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

PROBLEM & SOLUTION OF SET

**PROBLEM &
SOLUTIONS OF SET**

__Example –1__

**Let Y = { x /x = 2n+1, n ****ϵ**** Y, 4 < n < 16 } , write ‘Y’ by the
roster method and find n(Y) **

**Ans.) Condition given here, 2n+1 , n ****ϵ**** Y , 4 < n < 16.**

**So, 2n + 1 = 2*2 +1, 2*3+1, 2*4 + 1, 2*4 + 1, 2*5 +1, 2*6 +
1, 2*7 + 1 = 5, 7, 9, 11, 13, 15 **

**( n= 1, 2, 3, 4,……... )**

**So, Y = { 5, 7, 9, 11, 13, 15 }, as there are 6 members
in the set ‘Y’, n(Y) = 6**

__Example – 2__

**Write the Set Z = { 7, 9, 11, 13, 15, 17, 19 } by the Rule
method **

**Ans.) Each member of the set is an Odd natural number and no
number is greater than 19 and less than 7, So n = 2n +1, (7< n <
19)**

**Z = x/x = 2n + 1, n ****ϵ**** Z , 7 < n < 19**

** **

__Example – 3__

**Write
the following sets in tabular & set builder form; The set ‘Z’ of even
natural number between 2 to 15. **

**In tabular form, Z =
{ 4, 6, 8, 10, 12, 14 }**

**In Set-builder form,
Z = { x / x , 2n + 2 , n ****ϵ**** Z, 2 < n < 15 }**

__Example – 4__

**Write
the following set ‘X’ of consonant from the word “ HOSPITAL ”**

**In tabular form, X =
{ H, S, P, T, L }**

**In Set-builder form,
X = { x/ x is a consonant in the word HOSPITAL }**

__Example – 5__

**Write
the following set ‘X’ of the vowel from the word “ HOSPITAL ”**

**In a tabular form, X
= { O, I, A }**

**In Set-builder form,
X = { x/ x is a vowel in the word HOSPITAL }**