If U={x: x∈N and 2<x≤6}, which element is not in U?
Answer and explanation
Correct answer: 2
The governing concept is interpreting strict and inclusive inequalities in a set definition. The condition 2<x excludes 2, while x≤6 includes 6. Because x is natural, the resulting set is U={3,4,5,6}. Thus 3, 4, and 6 are members, but 2 is not. Option D is therefore the only element outside U; confusing < with ≤ would lead to a wrong choice.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
The governing concept is interpreting strict and inclusive inequalities in a set definition. The condition 2<x excludes 2, while x≤6 includes 6. Because x is natural, the resulting set is U={3,4,5,6}. Thus 3, 4, and 6 are members, but 2 is not. Option D is therefore the only element outside U; confusing < with ≤ would lead to a wrong choice.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
