If J={x: x is a natural number and x≤3}, why is 2∈J?
Answer and explanation
Correct answer: Because 2 is natural and 2≤3
A number belongs to a set defined by conditions only when it satisfies every condition. Here, 2 is a natural number, and the inequality 2≤3 is true. Therefore 2 satisfies the complete rule for membership in J. Being even is irrelevant, 2 is not the greatest possible number, and the statement about not being a set does not establish membership.
Frequently asked questions
What is the correct answer to this question?
Because 2 is natural and 2≤3
Why is this the correct answer?
A number belongs to a set defined by conditions only when it satisfies every condition. Here, 2 is a natural number, and the inequality 2≤3 is true. Therefore 2 satisfies the complete rule for membership in J. Being even is irrelevant, 2 is not the greatest possible number, and the statement about not being a set does not establish membership.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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