Use the definitions of rational and irrational numbers to justify each statement.
Use the definitions of rational and irrational numbers to justify each statement.
-4 is a rational number.
The difference of two rational numbers is an irrational number.
Is this true or False? Justify your answer.
The sum of two irrational numbers is always an irrational number.
Is this true or false? Justify your answer.
Irrational numbers are closed under subtraction.
Is this true or false? If false, give a counterexample.
Irrational numbers are closed under multiplication.
Is this true or false? If false, give a counterexample.