Question

If A ⊂ B, then which of the following describes the relationship between A and B?

1. Set A can have the same number of elements as set B.
2. Set B may have less elements than set A.
3. The intersection of sets A and B must be the empty set.
4. Set B may have more elements than A does.

Answer 1

4.Set B may have more elements than A does
This is because A is a subset of B

Answer 2

A set is a well-defined collection of objects. Each object in a set is called an element of the set. Two sets are equal if they have exactly the same elements in them.

A set is a subset of another set if all elements of the set are elements of the set . In other words, the set is contained inside the set . The subset relationship is denoted as A ⊂ B .The relationship of one set being a subset of another is also called inclusion or we can say Set B may have more elements than A does.

Option 4 .Set B may have more elements than A does is the right answer.