If A = {x : x is a natural number and x < 5} and B = {1, 2, 3, 4, 5}, which statement is correct?
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Answer and explanation
Correct answer: A ⊂ B / A is a proper subset of B
Taking natural numbers as 1, 2, 3, …, the condition x < 5 gives A = {1, 2, 3, 4}. Every element of A is in B, so A ⊆ B. The inclusion is proper because B also contains 5, while 5 is not in A. Hence A ⊂ B. The strict inequality is important: x < 5 excludes 5.
Frequently asked questions
What is the correct answer to this question?
A ⊂ B / A is a proper subset of B
Why is this the correct answer?
Taking natural numbers as 1, 2, 3, …, the condition x < 5 gives A = {1, 2, 3, 4}. Every element of A is in B, so A ⊆ B. The inclusion is proper because B also contains 5, while 5 is not in A. Hence A ⊂ B. The strict inequality is important: x < 5 excludes 5.
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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