Let A = {x ∈ Z : -5 < x < 4}, and let B contain the even integers satisfying -5 < x < 4. What is A \ B?
Answer and explanation
Correct answer: {-3,-1,1,3}
The integers strictly between -5 and 4 are A = {-4,-3,-2,-1,0,1,2,3}. The even members in this interval are B = {-4,-2,0,2}. The difference A \ B keeps the elements of A that are not in B, so the odd integers remain: {-3,-1,1,3}. Therefore option A is correct. Option B lists the removed even elements, option C is the entire set A, and option D would incorrectly remove every element.
Frequently asked questions
What is the correct answer to this question?
{-3,-1,1,3}
Why is this the correct answer?
The integers strictly between -5 and 4 are A = {-4,-3,-2,-1,0,1,2,3}. The even members in this interval are B = {-4,-2,0,2}. The difference A \ B keeps the elements of A that are not in B, so the odd integers remain: {-3,-1,1,3}. Therefore option A is correct. Option B lists the removed even elements, option C is the entire set A, and option D would incorrectly remove every element.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
