On Monday, the coldest temperature outside was $2$ degrees Fahrenheit. On Tuesday, Ms. Perkins tells her students that the coldest temperature outside has an absolute value of $4$ degrees. Rachel says that Tuesday’s coldest temperature could be greater than Monday’s coldest temperature.
Tom says that Tuesday’s coldest temperature could be less than Monday’s coldest temperature.
State whether each student’s statement is true or false, and justify your answers.

Respond in the space provided.