Question

. Are the following statements true or false? Give reasons for your answer.
(i) Every whole number is a natural number.
(ii) Every integer is a rational number.
(iii) Every rational number is an integer.
(iv) Every natural number is a whole number.
(v) Every integer is a whole number.
(vi) Every rational number is a whole number.
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Answer 1

Answer:

i) No. Whole numbers include 0 and all numbers onwards while natural numbers contain the same except 0.

ii) No. Every integer cannot be represented in a p/q form and rational numbers are represented in a p/q form.

iii) Yes. Check above definition.

iv) Yes. Check 1st definition.

v)No. Every integer is not included in the whole number list.

vi)No. Every rational number is not a while number as whole numbers do not include negative numbers.

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