Which option states the correct fact about ∅ and {0}?
Answer and explanation
Correct answer: {0} has one element
The governing concept is the distinction between an empty set and a singleton set. The symbol ∅ denotes a set with no elements, so n(∅)=0. Braces around 0 form the set {0}, which contains exactly one element, namely 0, so n({0})=1. Therefore option C is true. Options A, B, and D incorrectly treat ∅ and {0} as the same or deny the membership of 0.
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What is the correct answer to this question?
{0} has one element
Why is this the correct answer?
The governing concept is the distinction between an empty set and a singleton set. The symbol ∅ denotes a set with no elements, so n(∅)=0. Braces around 0 form the set {0}, which contains exactly one element, namely 0, so n({0})=1. Therefore option C is true. Options A, B, and D incorrectly treat ∅ and {0} as the same or deny the membership of 0.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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