Question

4. Which of the following statement is false? *
(1 Point)
a) Every whole number is a natural
number
b) Every natural number is a whole
number
c) All natural numbers are interger.
d) every whole on is interger​

Answer 1

Option a is the false statement from the given statements.

• The set of all the positive integers including 0 are defined as Whole numbers.
• The set of all the positive integers are defined as Natural numbers.
• The set of all negative integers, positive integers, including 0 is defined as an integer set.

• Every natural number is an integer because natural numbers are a subset of the integers set.
• Every whole number is also considered as an integer because whole numbers are a subset of the integer set.
• Every natural number is considered as a whole number because the set of whole numbers - {0} is equal to the set of natural numbers.
• Every whole number cannot be considered as a natural number because 0 is a whole number which is not a natural number. Hence this statement is incorrect.

Therefore, Option a is the incorrect statement.

Answer 2

Answer:

Option A Statement is false.

Step-by-step explanation:

The set of all positive integers, including 0, is defined as integers.

Each natural number is an integer, because natural numbers are a subset of integers.

The set of all positive integers is defined as natural numbers.

Each integer is also considered an integer because integers are a subset of the integer. Each natural number is considered an integer because the set of integers - {0} is the same as the set of natural numbers.

The set of all negative integers, positive integers including 0 is defined as an integer.

No integer cannot be considered a natural number because 0 is an integer that is not a natural number. That this statement is wrong.

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