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sammy [17]
3 years ago
11

are the rational numbers a subset of all real numbers? are the rational numbers a subset of the irrational numbers? explain

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

see below

Step-by-step explanation:

<u>are the rational numbers a subset of all real numbers?</u>

yes of course

by definition the real numbers is the union of the rational numbers and the irrational numbers

so we can say that the rational numbers are a subset

and every rational number is part of the real number

<u>are the rational numbers a subset of the irrational numbers?</u>

No

the rationals numbers are all those numbers that you can write as p/q with q different of 0, and the irrationals numbers are those that you cannot write as a fraction

so as you can see those are two completely different types of number, to be a subset every rational number must be in the irrationals , and by the definition we know it can't happen

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