(b). For each of the statements, state whether it is true or false and give a reason or an example to justify your answer: (i). All integers are natural numbers. (ii). All natural numbers are whole numbers. (iii). All whole numbers are integers. (iv). All real numbers are rational numbers.
(b). For each of the statements, state whether it is true or false and give a reason or an example to justify your answer: (i). All integers are natural numbers. (ii). All natural numbers are whole numbers. (iii). All whole numbers are integers. (iv). All real numbers are rational numbers.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.1: The Field Of Real Numbers
Problem 20E: Give counterexamples for the following statements.
If and are irrational, then is irrational.
If ...
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(b). For each of the statements, state whether it is true or false and give a reason or an example to justify your answer:
(i). All integers are natural numbers.
(ii). All natural numbers are whole numbers.
(iii). All whole numbers are integers.
(iv). All real numbers are rational numbers.
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