If E = {x : x is a natural number and x < 6}, which element is not in E?
Answer and explanation
Correct answer: 6
The governing idea is interpreting a set-builder condition with a strict inequality. Taking natural numbers as 1, 2, 3, and so on, the condition x < 6 produces E = {1, 2, 3, 4, 5}. Since the sign is strictly less than, 6 is excluded rather than included. Therefore 1, 3, and 5 belong to E, while option D, 6, does not.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The governing idea is interpreting a set-builder condition with a strict inequality. Taking natural numbers as 1, 2, 3, and so on, the condition x < 6 produces E = {1, 2, 3, 4, 5}. Since the sign is strictly less than, 6 is excluded rather than included. Therefore 1, 3, and 5 belong to E, while option D, 6, does not.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
