Which option correctly represents K={x∈N: x is not greater than 7 and x>2}?
Answer and explanation
Correct answer: K={3,4,5,6,7}
Translate the verbal conditions into inequalities. “x is not greater than 7” means x≤7, while the second condition is x>2. Combining them gives 2<x≤7. The natural numbers in this interval are 3, 4, 5, 6 and 7, so option A is correct. The value 2 fails x>2, and values 8 and above fail x≤7. Option C wrongly omits 7.
Frequently asked questions
What is the correct answer to this question?
K={3,4,5,6,7}
Why is this the correct answer?
Translate the verbal conditions into inequalities. “x is not greater than 7” means x≤7, while the second condition is x>2. Combining them gives 2<x≤7. The natural numbers in this interval are 3, 4, 5, 6 and 7, so option A is correct. The value 2 fails x>2, and values 8 and above fail x≤7. Option C wrongly omits 7.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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