Question

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

Answer 1

Answer:

see below

Step-by-step explanation:

are the rational numbers a subset of all real numbers?

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

are the rational numbers a subset of the irrational numbers?

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