Question

Let G = {x∣x is boy of your class} and H = { y∣y is a girl of your class}. What type of sets G and H are?
A. finite sets
B. Infinite sets
C. Cannot be determined
D. None of these

Answer 1

Hint: Here, check whether the set can have infinite numbers or finite numbers. Then choose the correct option from the given options. The number of students in a class is always finite.

Complete step-by-step answer:
In mathematical terms a set is defined as a collection of well defined and distinct (different) objects, considered as an object (they follow certain rules to be called an object). Sets are one of the most basic concepts in mathematics. This concept was developed at the end of the 19th century, set theory has now become an important part of mathematics, and can be used as a base concept from which many mathematical facts can be derived. In mathematics education, elementary topics such as Venn diagrams are taught at a young age, while more advanced concepts are taught as part of a university degree.
Finite and infinite sets are two of the different types of sets. The word 'Finite' itself describes that it is countable and the word 'Infinite' means it is not finite or uncountable.
Since the number of boys and girls in a class are always finite (since the number of students in a class is always finite ). Therefore, set G and H are finite sets.
So, the correct answer is “Option A”.

Note: As we know that if a set has a starting point and an ending point both, it is a finite set, but it is infinite if it has no end from any side or both sides. ... If a set has the unlimited number of elements, then it is infinite and if the elements are countable then it is finite.