Question

3.
4.
5.
Is it possible to express every set through a defining property ? Justify your answer.
If {x: ,(x)} = {x: P, (x)}, show for each x, p, (x) and p, (x) have the same truth value.
For each of the following words, write down the set of letters forming that word:
(i) Administration, (ii) Misrepresentation, (iii) Matheinatics,
(iv) Concurrence, (v) Demonstration. .
6.
State with reason, which of the following are sets and which are not :
(i) All big rivers of India.
(ii) All natural numbers having at least one prime factor.
(iii) All sincere students of Ravenshaw College during the academic year 1998-99.
(iv) All real numbers with negative square.
(v) All citizens of India earning more than Rs. 10,000/- per month.
All colleae teachers who are citizens of India​

Answer 1

Step-by-step explanation:

i) All big rivers of India.

(ii) All natural numbers having at least one prime factor.

(iii) All sincere students of Ravenshaw College during the academic year 1998-99.

(iv) All real numbers with negative square.

(v) All citizens of India earning more than Rs. 10,000/- per month.

All colleae teachers who are citizens of India