Question 1 :
Represent the following sets in Roster form.
(i) A = The set of all even natural numbers less than 20.
Answer :
The given set will contain even natural numbers lesser than 20.
A = {2, 4, 6, 8, 10, 12, 14, 16, 18}
(ii) B = {y : y = 1/2n , n ∈ N, n ≤ 5}
Solution :
B = {y : y = 1/2n , n ∈ N, n ≤ 5}
If n = 1, then y = 1/2
If n = 2, then y = 1/4
If n = 3, then y = 1/6
If n = 4, then y = 1/8
If n = 5, then y = 1/10
B = { 1/2, 1/4, 1/6, 1/8, 1/10 }
(iii) C = {x : x is perfect cube, 27 < x < 216}
Answer :
27 is the value of 33, 216 is the value of 63
C = {43, 53}
C = {64, 125}
(iv) D = {x : x ∈ Z, –5 < x ≤ 2}
Answer :
D = {-4, -3, -2, -1, 0, 1, 2}
Question 2 :
Represent the following sets in set builder form.
(i) B = The set of all Cricket players in India who scored double centuries in One Day Internationals.
Answer :
B = {x : x is an Indian player who scored double centuries in One Day International}
(ii) C = {1/2, 2/3, 3/4, ..........}
Answer :
By observing the given set, the denominator is 1 greater than the numerator.
C = {x : x = n/(n + 1) where n ∈ N}
(iii) D = The set of all tamil months in a year.
Answer :
D = {x : x is the set of all tamil months in a year.}
(iv) E = The set of odd Whole numbers less than 9.
Answer :
E = {x: x is the set of odd Whole numbers less than 9}
Question 3 :
Represent the following sets in descriptive form.
(i) P = { January, June, July}
Answer :
P = The set of English months starting with J
(ii) Q = {7, 11, 13, 17, 19, 23, 29}
Answer :
Q = the set of prime numbers between 5 and 31.
(iii) R = {x : x ∈ N, x < 5}
Answer :
R = The set of natural numbers less than 5.
(iv) S = {x : x is a consonant in English alphabets}
Answer :
S = The set of consonants in English alphabets
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
May 07, 24 09:17 AM
May 05, 24 12:25 AM
May 03, 24 08:50 PM