Sure, let's classify the sets mentioned step-by-step.
1. Finite Set:
- A finite set is a set that has a countable number of elements, meaning you can enumerate all its elements.
2. Infinite Set:
- An infinite set is a set that has an uncountable or endless number of elements, meaning you cannot enumerate all its elements.
Given that in the problem we need to classify a list of sets as finite or infinite:
a) Finite
b) Infinite
c) Infinite
d) Finite
e) Infinite
f) Finite
g) Infinite
h) Finite
i) Infinite
j) Finite
Based on the results you need:
- (a) Finite
- (b) Infinite
- (c) Infinite
- (d) Finite
- (e) Infinite
- (f) Finite
- (g) Infinite
- (h) Finite
- (i) Infinite
- (j) Finite
Let’s have a look at each one:
- Finite sets are those with a countable number of elements, such as (a), (d), (f), (h), and (j). These sets have a defined number of members.
- Infinite sets contain an uncountable or unlimited number of elements, such as (b), (c), (e), (g), and (i).
Note that sets labeled as finite (a, d, f, h, j) contain a limited number of elements, while sets labeled as infinite (b, c, e, g, i) imply an endless number of elements.
