Let \(A=\{x\in\mathbb{Z}:-5\le x\le5\}\) and \(B=\{x\in\mathbb{Z}:x\text{ is odd}\}\). What is \(A\cap B\)?
Answer and explanation
Correct answer: \(\{-5,-3,-1,1,3,5\}\)
Set A consists of all integers from -5 through 5. Among them, the odd integers are -5, -3, -1, 1, 3, and 5. These are precisely the elements that belong to both A and B, so their intersection is \(\{-5,-3,-1,1,3,5\}\). Zero and the even integers are excluded because they are not odd.
Frequently asked questions
What is the correct answer to this question?
\(\{-5,-3,-1,1,3,5\}\)
Why is this the correct answer?
Set A consists of all integers from -5 through 5. Among them, the odd integers are -5, -3, -1, 1, 3, and 5. These are precisely the elements that belong to both A and B, so their intersection is \(\{-5,-3,-1,1,3,5\}\). Zero and the even integers are excluded because they are not odd.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
