If A = {x : x is a day that comes between Sunday and Monday}, what type of set is A?
Answer and explanation
Correct answer: Empty set
In the usual weekly order, Sunday is followed immediately by Monday. There is no named day between these two consecutive days. Consequently, no element satisfies the condition defining A, so A has zero elements and is the empty set. Therefore option A is correct; it is not a singleton or an infinite set.
Frequently asked questions
What is the correct answer to this question?
Empty set
Why is this the correct answer?
In the usual weekly order, Sunday is followed immediately by Monday. There is no named day between these two consecutive days. Consequently, no element satisfies the condition defining A, so A has zero elements and is the empty set. Therefore option A is correct; it is not a singleton or an infinite 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.
