Question

IF A = (1,2,(3,4)), among the following incorrect statements is

a) 3 EA
b) (1) CA
c) (2) E A
d) ICA

Answer 1

Statement a) is incorrect because 3 is not an element of set A. The correct statement should indicate that (3,4) is an element of A, not 3 on its own.

Step-by-step explanation:

The question relates to set theory and element membership within a set.

Let's analyze the provided set A = (1,2,(3,4)) and the statements given:

• a) 3 ∈ A - This statement is incorrect, as 3 is not an element of A. Instead, (3,4) is an element of A, which is a nested pair itself.
• b) (1) ⊂ A - This statement is correct; (1) is a singleton set contained within A.
• c) (2) ∈ A - This statement is correct; 2 is an element of A.
• d) I ⊂ A - This statement requires clarification because I is not defined within the context of the question. If I is intended to be the identity element or any element not defined within set A, then I is not a subset of A unless properly defined otherwise.

In summary, statement a) is the incorrect one, stating that 3 is an element of A.