If P={x∈N: 8≤x≤8}, what is P?
Answer and explanation
Correct answer: P={8}
The two inequalities impose both a lower and an upper bound equal to 8. A number that satisfies 8≤x and x≤8 must be exactly x=8. Since 8 is a natural number, it belongs to the domain and is valid. Thus P={8}, a singleton set, so option B is correct. The empty set has no member, while options C and D include numbers that fail at least one of the two bounds.
Frequently asked questions
What is the correct answer to this question?
P={8}
Why is this the correct answer?
The two inequalities impose both a lower and an upper bound equal to 8. A number that satisfies 8≤x and x≤8 must be exactly x=8. Since 8 is a natural number, it belongs to the domain and is valid. Thus P={8}, a singleton set, so option B is correct. The empty set has no member, while options C and D include numbers that fail at least one of the two bounds.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
