PUC Science इयत्ता ११ - Karnataka Board PUC Question Bank Solutions

Which of the following collection are sets? Justify your answer:  

The collection of prime integers.

If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space: 

4 ...... A  

If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space: 

−4 ...... A 

If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space: 

 9 ...... A

If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space:  

 0 ...... A

If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space: 

−2 ...... A

Describe the following sets in Roster form: 

{x : x is a letter before e in the English alphabet}

Describe the following sets in Roster form: 

{x ∈ N : x² < 25}; 

Describe the following sets in Roster form: 

{x ∈ N : x is a prime number, 10 < x < 20};

Describe the following sets in Roster form: 

 {x ∈ N : x = 2n, n ∈ N};

Describe the following sets in Roster form: 

 {x ∈ R : x > x}.

Describe the following sets in Roster form: 

{x : x is a prime number which is a divisor of 60} 

Describe the following set in Roster form: 

The set of all letters in the word 'Trigonometry'

Describe the following sets in Roster form: 

 The set of all letters in the word 'Better'.

Describe the following sets in Roster form: 

The set of all letters in the word 'Better'.

Describe the following sets in set-builder form: 

A = {1, 2, 3, 4, 5, 6}

Describe the following sets in set-builder form:

B={1,1/2 ,1/3, 1/4,1/5,...........};

Describe the following sets in set-builder form: 

C = {0, 3, 6, 9, 12, ...} 

Describe the following sets in set-builder form: 

 D = {10, 11, 12, 13, 14, 15}; 

Describe the following sets in set-builder form: 

E = {0}