If \(A=\{x\mid x\) is a non-negative integer less than 9\} and \(B=\{0,1,2,3,4,5,6,7,8\}\), which statement is true?
Answer and explanation
Correct answer: \(A=B\)
A non-negative integer is an integer that is zero or positive. The non-negative integers less than 9 are therefore 0, 1, 2, 3, 4, 5, 6, 7, and 8. Hence \(A=\{0,1,2,3,4,5,6,7,8\}\), exactly the same collection as \(B\). The condition is ‘less than 9’, so 9 is excluded. Thus option A, \(A=B\), is correct.
Frequently asked questions
What is the correct answer to this question?
\(A=B\)
Why is this the correct answer?
A non-negative integer is an integer that is zero or positive. The non-negative integers less than 9 are therefore 0, 1, 2, 3, 4, 5, 6, 7, and 8. Hence \(A=\{0,1,2,3,4,5,6,7,8\}\), exactly the same collection as \(B\). The condition is ‘less than 9’, so 9 is excluded. Thus option A, \(A=B\), is correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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