Question

Write "E" if the following sets are finite and "J" if infinite. If it is finite, write its cardinality.

The counting numbers less than 30.
a) E, 29
b) J
c) E, 30
d) J, 29

Answer 1

The counting numbers less than 30 form a finite set with exactly 29 elements. The correct answer is (a) E, 29, indicating that the set is finite with a cardinality of 29.

Step-by-step explanation:

The counting numbers less than 30 form a finite set, as there are a countable number of elements that can be listed. Specifically, the counting numbers less than 30 start with 1 and go up to 29. Thus, there are 29 counting numbers less than 30.

The correct option is:

• (a) E, 29

Option (a) states 'E' indicating that the set is finite and provides the correct cardinality, which is 29.