Answer
True
Work Step by Step
Recall:
(1) Rational numbers are numbers that can be expressed in the form $\dfrac{a}{b}$ where $a$ and $b$ are integers and $b\ne0$.
(2) Irrational numbers are numbers that cannot eb expressed in the form $\dfrac{a}{b}$ where $a$ and $b$ are integers and $b\ne0$.
Based on the definitions above, it follows that the two sets have no common elements (they are disjoint sets) and that one is the complement of the other.
Therefore, the union of the two sets is the set of real numbers..
Hence, the given statement is true.
