During a lesson about signed numbers, each student was asked to write a general statement that was true for all rational numbers on the number line. Three students' statements are shown below: Gabrielle stated, "Any negative number will always be smaller than a positive

number anywhere on the number line." Hui stated, "If a negative number is greater than a number on the number line, then the negative number will always be positioned to the right of the other number

on the number line."

Isabel stated, "If a negative number is less than a number on the number line, then the negative number will always be farther away from zero than the other number."

Identify whether ench student's statement is true or false and explain why. If a statement is false,

provide an example with signed numbers to justify your explanation.