Practice set
1.1
Question (1): Write the following sets in roster form.
(i) Set of even
natural numbers
(ii) Set of even
prime numbers from 1 to 50
(iii)
Set of negative integers (iv) Seven basic sounds of a sargam
(sur)
Solution :
(i) A
= {2, 4, 6, ...}
(ii) B
= {2}
(iii) C
= {..., −5, −4, −3, −2, −1}
(iv) D
= {SA, RE, GA, MA, PA, DHA, NI}
Question (2) Write the following symbolic statements in
words.
(i)⅔ ⊆𝑄 (ii) -2 ∉ N (iii) P = {p | p is an odd number} Solution :
(i) ⅔ belongs
to set Q.
(ii) -2 ∉N
−2 does not belongs to set N.
(iii) P = {p
| p is an odd number}
P is a set of p such that p is an odd number.
Question (3) Write
any two sets by listing method and by rule method.
Solution :
(i) A
= {6, 7, 8, 9}
A = {x
| x ∈ N
and 5 < x < 10}
(ii) B
= {a, e, i, o, u}
B = {y
| y is vowel of English alphabet}.
Question (4) Write
the following sets using listing method.
(i)
All months in the indian solar year.
(ii) Letters in
the word ‘COMPLEMENT’.
(iii) Set of human
sensory organs.
(iv) Set of prime
numbers from 1 to 20.
(v) Names of
continents of the world.
Solution :
(i) A
= {January, February, March, April, May, June, July, August,
September, October, November, December}
(ii) B
= {C, O, M, P, L, E, M, E, N, T}
(iii) C
= {Nose, Tongue, Skin, Ear, Eyes}
(iv) D
= {2, 3, 5, 7, 11, 13, 17, 19}
(v) E
= {Asia, Africa, Europe, North America, South America, Australia, Antartica}
Question 5:
Write the following sets using rule method.
(i)
A = { 1, 4, 9, 16, 25, 36, 49, 64, 81, 100}
(ii)
B = { 6, 12, 18, 24, 30, 36, 42, 48}
(iii) C = {S, M, I, L, E}
(iv) D = {Sunday, Monday, Tuesday,
Wednesday, Thursday,
Friday, Saturday}
(v)
X = {a, e, t}
solution:
(i)
A = {x | x = n2, n ∈ N and 1≤ n ≤ 10}
(ii)
B = {x | x = 6y, y ∈ N and 1
≤ y ≤ 8}
(iii) C = Set of letters in the
word 'SMILE'
(iv) D = Set of days in a week
(v)
X = Set of letters in the word 'ate'