There are no boundary points.
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yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
These number can also be represented on real line.
There are an infinite number of irrational numbers.
All irrational numbers are not rational.