Question

Q1. State which of the following collection are sets:-

(i) Planets in our solar system

(ii) Interesting books in our library

(iii) Colours of a rainbow

(iv) Good football players

Q2. Let A = {Odd number ≤ 19}. Insert the appropriate symbol ∈ or ∉ in the blanks.

(i) 4 __ A (ii) 13 __ A (iii) 7 __ A (iv) 2 __ A

Q3. Write the following sets in roster form.

(i) The set of odd numbers less than 15.

(ii) The set of letters in the word ‘SATELLITE’.

(iii) The set of last three months of the year.

(iv) The set of first four multiples of 9.

(v) The set of vowels in the word ‘AMERICA’.

Q4. Write the following sets in the set builder form:

(i) {4, 8, 12, 16, 20, 24 …}

(ii) {Tuesday, Thursday}

(iii) Set of even numbers between 22 and 40.

(iv) Set of planets in our solar system.

Q5. Classify the following sets as finite or infinite.

(i) Number of people in India.

(ii) {0, 1, 2, 3…}

(iii) The set of teachers in your school.

Q6. Classify the given sets as empty or singleton set

(i) {Capital of U.S.A} - ___________ set

(ii) {Cubes with eight faces} - __________ set

Q7. Write the cardinal number of the following sets

(i) The set of hours in a day

(ii) The set of prime numbers less than 10

(iii) P = {planets in our solar system}

Q8. Which of the following pairs of sets are equal sets

(i) P = {a, b, c, d} Q = {d, a, c, b}

(ii) M = {r, e, d} N = {d, a, r}

Q9. Which of the following sets are equivalent

A = {1, 2, 3, 4}

B = {2, 3, 4, 5, 6}

C = {a, e, i, o, u}

d = {c, o, m, e}

Q10. A = {2, 4, 6, 8, 10}

B = {x|x is the set of English Vowels}

Find (i) B ii) n(A) (iii) n(B)

(iv) Is A equal to B.

(v) Are A and B equivalent​

Answer 1

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Å1. (i),(iii)

Å2.

(i) ∉

(ii) ∉

(iii) ∉

(iv) ∉

Å3.

(i) A = {1,3,5,7,9,11,13}

(ii) B = { S,A,T,E,L,I}

(iii) C = { October, November, December}

(iv) D = {9,18,27,36}

(v) E = { A,E,I}

Å4.

(i) A = {x:x is a multiple of 4}

(ii) B = {x:x is a day of week starts with letter T}

(iii) C = {x:x is a even number between 22 and 40}

(iii) D = {x:x is a planet in solar system}

Å5.

(i) Finite

(ii) Infinite

(iii) Finite

Å6.

(i) Singleton

(ii) Empty

Å7.

(i) n(A) = 24

(ii) n(B) = 4

(iii) n(C) = 8

Å8. (i)

Å9.

A and B are equal sets in the given question

Å10.

(i) B = {a,e,i,o,u}

(ii) n(A) = 5

(iii) n(B) = 5

(iv) No

(v) Yes

Hope it helps úh