Question

determine whether the set is finite or infinite. the set of natural numbers less than 11. choose the correct answer below, and if necessary, fill in the answer box to complete your choice. a. the set is finite with a cardinality of. b. the set is infinite.

Explanation:

Step1: Define natural numbers less than 11

Natural numbers typically start at 1, so the set is $\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$.

Step2: Count elements (find cardinality)

Count the number of elements: $10$ elements total.

Step3: Classify set type

A set with a fixed, countable number of elements is finite.

Answer:

A. The set is finite with a cardinality of 10.