If A = {1, 2, 3, 4} and B = {2, 4}, why is B ⊆ A true?
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Answer and explanation
Correct answer: Every element of B is in A.
The statement B ⊆ A means that every element of B must also be an element of A. The elements of B are 2 and 4, and both occur in A = {1, 2, 3, 4}. It is not necessary for every element of A to belong to B; 1 and 3 show that B is a proper subset of A. Thus option A gives the correct definition.
Frequently asked questions
What is the correct answer to this question?
Every element of B is in A.
Why is this the correct answer?
The statement B ⊆ A means that every element of B must also be an element of A. The elements of B are 2 and 4, and both occur in A = {1, 2, 3, 4}. It is not necessary for every element of A to belong to B; 1 and 3 show that B is a proper subset of A. Thus option A gives the correct definition.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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