If P = {x : x ∈ N and 5 ≤ x ≤ 5}, what is P?
Answer and explanation
Correct answer: P = {5}
A number that is at least 5 and at most 5 must be exactly 5. Since 5 is a natural number, it satisfies the domain condition. Therefore P contains one element and is P = {5}. The equal signs on both sides include the common endpoint; there is no interval of several values when the lower and upper bounds are identical.
Frequently asked questions
What is the correct answer to this question?
P = {5}
Why is this the correct answer?
A number that is at least 5 and at most 5 must be exactly 5. Since 5 is a natural number, it satisfies the domain condition. Therefore P contains one element and is P = {5}. The equal signs on both sides include the common endpoint; there is no interval of several values when the lower and upper bounds are identical.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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