If Q={x: x is a natural number and x<1}, what kind of set is Q?
Answer and explanation
Correct answer: Empty set
With natural numbers beginning at 1, the smallest possible natural number is 1. No natural number is strictly less than 1, so no value satisfies the defining condition of Q. A set with no qualifying elements is the empty set, written ∅. It is not a singleton or an infinite set because its cardinality is zero.
Frequently asked questions
What is the correct answer to this question?
Empty set
Why is this the correct answer?
With natural numbers beginning at 1, the smallest possible natural number is 1. No natural number is strictly less than 1, so no value satisfies the defining condition of Q. A set with no qualifying elements is the empty set, written ∅. It is not a singleton or an infinite set because its cardinality is zero.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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