Alex: The number is less than or equal to 5.

Bert: The number is 2, 4, 7, or 9.

Carl: The number is even.

Alex: Bert's first statement is false.

Carl: The number is at least 5.

Bert: The number is odd.

Carl: Alex's first statement is true.

Alex: The number is not 1, 2, 8, nor 9.

Bert: Carl made exactly one true statement.