If A = {x : x² = 4 and x is positive}, what type of set is A?
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Answer and explanation
Correct answer: Singleton set
Solving x² = 4 gives x = 2 or x = −2. The condition that x must be positive eliminates −2, leaving only x = 2. Thus A = {2}. A set containing exactly one element is called a singleton set. It is finite, but the more specific and correct classification among the options is singleton set.
Frequently asked questions
What is the correct answer to this question?
Singleton set
Why is this the correct answer?
Solving x² = 4 gives x = 2 or x = −2. The condition that x must be positive eliminates −2, leaving only x = 2. Thus A = {2}. A set containing exactly one element is called a singleton set. It is finite, but the more specific and correct classification among the options is singleton set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
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