give one example each two following statements i)a number which is rational but not a inter ii)a whole numbers which is not a natural number iii)an integers which is not whole numbers iv)a number which is natural number whole number,integer,and rational number v)a number which is an integer but not a natural number
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Answer:
(i) Every natural number is a whole number.
This statement is true because the set of natural numbers is represented as N = {1, 2, 3...} and the set of whole numbers is W = {0, 1, 2, 3...}. We see that every natural number is present in the set of whole numbers. For example, 5 is a natural number as well as a whole number.
ii) Every integer is a whole number.
This statement is false because the set of integers is represented as Z = { -2, -1, 0, 1, 2...} and the set of whole numbers is W = {0, 1, 2, 3...}. We see that the negative integers are not the elements of the whole numbers set. Thus, negative integers are not a subset of whole numbers. For example, -2 is an integer but not a whole number.
iii) Every rational number is a whole number.
This statement is false as every number represented in the form of p/q where q ≠ 0 does not get simplified to a whole number. For example, 1/2 is a rational number, but not a whole number
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