If H={x: x∈N and 1≤x≤4}, which statement is false?
Answer and explanation
Correct answer: 5∈H
The governing concept is membership under inclusive bounds. Because 1≤x≤4 includes both endpoints, the set is H={1,2,3,4}. Consequently, 1∈H, 3∈H, and 4∈H are true statements. The number 5 lies beyond the upper limit, so 5∈H is false. Hence option C is the required answer; treating the question as asking for a true statement would reverse the task.
Frequently asked questions
What is the correct answer to this question?
5∈H
Why is this the correct answer?
The governing concept is membership under inclusive bounds. Because 1≤x≤4 includes both endpoints, the set is H={1,2,3,4}. Consequently, 1∈H, 3∈H, and 4∈H are true statements. The number 5 lies beyond the upper limit, so 5∈H is false. Hence option C is the required answer; treating the question as asking for a true statement would reverse the task.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
