Which option can be the correct set-builder form of B={0,2,4,6}?
Answer and explanation
Correct answer: B={x: x is an even whole number and x<8}
The governing concept is set-builder notation: the stated rule must generate every element of B and no extra element. The even whole numbers less than 8 are 0, 2, 4, and 6, exactly B, so option A is correct. Option C may exclude 0 and includes odd natural numbers; B describes odd digits, and D describes factors of 6, neither of which matches B.
Frequently asked questions
What is the correct answer to this question?
B={x: x is an even whole number and x<8}
Why is this the correct answer?
The governing concept is set-builder notation: the stated rule must generate every element of B and no extra element. The even whole numbers less than 8 are 0, 2, 4, and 6, exactly B, so option A is correct. Option C may exclude 0 and includes odd natural numbers; B describes odd digits, and D describes factors of 6, neither of which matches B.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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