Question

Every real number is either rational or an irrational.​

Answer 1

Answer:

Rational numbers can be expressed as the ratio of two integers - hence the name rational. An Irrational is any number which is not rational. So every rational number is certainly not irrational.

Answer 2

Answer:

Step-by-step explanation:

The prefix ir- in irrational is a negation: literally, irrational means not rational, where rational means a quotient of two integers whose denominator is non-zero.

So every member of  R  is either a ratio  p/q  of two integers  p  and  q , with  q≠0 , or it does not have this property. The union of rational and irrational numbers is the whole of  R , because the irrational numbers are defined as  R∖Q .