Final Answer:
The false statement among the given options is D) 1|5.
Step-by-step explanation:
The notation "|," typically read as "divides," is used in number theory to indicate that one number divides another without leaving a remainder. For instance, in the statement "a|b," if "a" divides "b" evenly, it implies that "b" is a multiple of "a." Examining the options:
A) 2|5: This statement is true as 2 divides 5 evenly, meaning 5 is a multiple of 2.
B) 7|0: This statement is true since any number divides zero, including 7.
C) 4|-16: This statement is true since 4 divides -16 without leaving a remainder, as -16 is divisible by 4.
However, D) 1|5 is false. The number 1 divides every integer, including 5, without leaving a remainder. Therefore, every integer is a multiple of 1. Hence, statement D is incorrect because 1 divides 5 evenly.
In summary, options A, B, and C are true according to the divisibility rule, as 2, 7, and 4 respectively divide the given numbers as indicated. However, option D, stating 1|5, is false as 1 divides all integers without a remainder, including 5. Therefore, the false statement among the given options is D) 1|5.