Yes, reals are rationals and irrationals.
A rational number cannot also be irrational. A real number is either rational, or it is irrational.
Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.
No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.
Numbers cannot be rational and irrational at the same time.
It is due to the fact that the set of real numbers is defined as the union of the rational and irrational numbers.
Yes.
Yes.
A real number which is not a rational number is an irrational number.
No. There are numbers that are beyond real numbers, such as complex numbers which are neither rational nor irrational.
Real numbers can be rational or irrational because they both form the number line.
It is an integer. All integers are rational but not irrational. All rational and irrational numbers are real numbers.
An irrational number is a real number that is not rational.