Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5 - Page 311: 95

The statement is false. A corrected statement would be: "Irrational numbers can either be negative or positive."

The statement is false as irrational numbers like $-\sqrt3$ are negative. A corrected statement would be: "Irrational numbers can either be negative or positive."