No. Although the count of either kind of number is infinite, the cardinality of Irrational Numbers is an order of infinity greater than for the set of rational numbers.
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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.
All irrational numbers are not rational.
No. There are infinitely many of both but the number of irrational numbers is an order of infinity greater than that for rational numbers.
Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).
All rational and irrational numbers are real numbers.