Question

State which of the following statement are true.
(i) { } = φ (ii) φ = 0 (iii) 0 = { 0 }

Answer 1

1)true
2)false
3)true
hope it will help you

Answer 2

Answer:

(i) true

(ii) false

(iii) false

Step-by-step explanation:

(i) True. These two ways are used to represent the same set: the empty set.

(ii) False. 0 is a number, while $\varphi$ is a set (unless you are talking about ZFC axiomatization, what I don't think is the case).

(iii)False. 0 represents the number 0, while $\{0\}$ represents the set that contains only the number zero.