Final answer:
The statement is false because zero is neither a natural number nor less than 5; natural numbers begin at 1 and include all positive integers up to but not including 5.
Step-by-step explanation:
The question "0∈[x∣x is a natural number less than 5]" is asking if zero is included in the set of natural numbers that are less than 5. The direct answer is B. False.
The natural numbers traditionally start from 1 and include all positive integers (1, 2, 3, ...). Since zero is not a positive integer, it does not belong to the set of natural numbers. Furthermore, natural numbers less than 5 are {1, 2, 3, 4}, thus excluding zero. Therefore, the statement is false because zero is not a natural number less than 5.
A step by step explanation would involve first understanding the definition of natural numbers and then evaluating the set notation to identify the members of this set. These members are the natural numbers that are less than 5. Since 0 is not a natural number and also not less than 5, it cannot be an element of this set.