If A ⊂ B, then which of the following describes the relationship between A and B?
Set A can have the same number of elements as set B.
Set B may have fewer elements than set A.
The intersection of sets A and B must be the empty set.
Set B may have more elements than A does.
Solution:
Let us assume set A and set B such that A ⊂ B
Set A= {1,2} and B ={1,2,3}
Here, subset means every element in set A should be in set B. If A ⊂ B, we can say that all the elements in A are present in B.
There are chances that both sets can be equal. So, clearly option A maybe always true.
Option B, option C don’t support our assumption and condition.
Hence, set B may have more elements than set A which is always true.
If A ⊂ B, then which of the following describes the relationship between A and B?
Set A can have the same number of elements as set B.
Set B may have fewer elements than set A.
The intersection of sets A and B must be the empty set.
Set B may have more elements than A does.
Summary:
If A ⊂ B, then the relationship between A and B can be described as set B may have more elements than set A.
Math worksheets and
visual curriculum
visual curriculum