If A = {1, 2, 3, 4, 5} and B = {2, 4}, which reason makes B a subset of A?
Answer and explanation
Correct answer: Every element of B is in A
By definition, B is a subset of A when every element belonging to B also belongs to A. Here the elements of B are 2 and 4, and both occur in A. Having fewer elements, being unequal, or containing only even numbers is not by itself the definition of a subset. Therefore the precise reason is that every element of B is in A.
Frequently asked questions
What is the correct answer to this question?
Every element of B is in A
Why is this the correct answer?
By definition, B is a subset of A when every element belonging to B also belongs to A. Here the elements of B are 2 and 4, and both occur in A. Having fewer elements, being unequal, or containing only even numbers is not by itself the definition of a subset. Therefore the precise reason is that every element of B is in A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
