If A = {x : x ∈ N, 2 divides x, x ≤ 16} and B = {x : x ∈ N, 4 divides x, x ≤ 16}, what is A \ B?
Answer and explanation
Correct answer: {2, 6, 10, 14}
The condition 2 divides x gives A = {2, 4, 6, 8, 10, 12, 14, 16}. The condition 4 divides x gives B = {4, 8, 12, 16}. In A \ B, remove the multiples of 4 from all even numbers. The remaining even numbers are 2, 6, 10, and 14. Thus option A is correct; option B lists the removed set, while option C is all of A.
Frequently asked questions
What is the correct answer to this question?
{2, 6, 10, 14}
Why is this the correct answer?
The condition 2 divides x gives A = {2, 4, 6, 8, 10, 12, 14, 16}. The condition 4 divides x gives B = {4, 8, 12, 16}. In A \ B, remove the multiples of 4 from all even numbers. The remaining even numbers are 2, 6, 10, and 14. Thus option A is correct; option B lists the removed set, while option C is all of A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
