Question

Which of the following is not true for two non-empty sets A and B?

• A. If A ⊂ B and B ⊂ A, then A = B.
• B. For every set A, empty set ∅ and A itself, are the subsets.
• C. If A ⊂ B and A ≠ B, then B is called superset of A.
• D. If A ⊂ B and A ≠ B, then A is called superset of B.

Answer 1

The correct option is D

If A ⊂ B and A ≠ B, then A is called superset of B.

Let A and B be two sets. If A $\subset$ B and A$\ne$B, then A is called a proper subset of B and B is called superset of A.