give an 50 examples for set
Answers
Plz justify your question
which examples
set builder form ?
1)
A= {y/y is a colour of rainbow}
OR
A= {y/y = Red,Blue}
so in. this form you can take
Natural numbers
integers
days of week ,year,month
hours in clock etc..
thanks
Answer:
Step-by-step explanation:Let N denote the set of first five natural numbers.
Therefore, N = {1, 2, 3, 4, 5} → Roster Form
(ii) The set of all vowels of the English alphabet.
Therefore, V = {a, e, i, o, u} → Roster Form
(iii) The set of all odd numbers less than 9.
Therefore, X = {1, 3, 5, 7} → Roster Form
(iv) The set of all natural number which divide 12.
Therefore, Y = {1, 2, 3, 4, 6, 12} → Roster Form
(v) The set of all letters in the word MATHEMATICS.
Therefore, Z = {M, A, T, H, E, I, C, S} → Roster Form
(vi) W is the set of last four months of the year.
Therefore, W = {September, October, November, December} → Roster Form
Let P is a set of counting numbers greater than 12;
the set P in set-builder form is written as :
P = {x : x is a counting number and greater than 12}
or
P = {x | x is a counting number and greater than 12}
This will be read as, 'P is the set of elements x such that x is a counting number and is greater than 12'
The symbol ':' or '|' placed between 2 x's stands for such that.
(ii) Let A denote the set of even numbers between 6 and 14. It can be written in the set builder form as;
A = {x|x is an even number, 6 < x < 14}
or A = {x : x ∈ P, 6 < x < 14 and P is an even number}
(iii) If X = {4, 5, 6, 7} . This is expressed in roster form.
Let us express in set builder form.
X = {x : x is a natural number and 3 < x < 8}
(iv) The set A of all odd natural numbers can be written as
A = {x : x is a natural number and x = 2n + 1 for n ∈ W}