If M={2,5,8}, which statement is false?
Answer and explanation
Correct answer: 6∈M
To test membership, compare each proposed number with the elements listed in M. The numbers 2, 5, and 8 occur explicitly, so 2∈M, 5∈M, and 8∈M are true statements. The number 6 does not occur in the roster, so 6∈M is false. Therefore option D is the required answer. The corresponding true non-membership statement would be 6∉M.
Frequently asked questions
What is the correct answer to this question?
6∈M
Why is this the correct answer?
To test membership, compare each proposed number with the elements listed in M. The numbers 2, 5, and 8 occur explicitly, so 2∈M, 5∈M, and 8∈M are true statements. The number 6 does not occur in the roster, so 6∈M is false. Therefore option D is the required answer. The corresponding true non-membership statement would be 6∉M.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.