Three friends, David, Emily, and Frank, were guessing the temperature outside. David said, "It is less than $15$ degrees Celsius." Emily replied, "It is more than $18$ degrees Celsius." Frank then stated, "The temperature is exactly $17$ degrees Celsius." It turned out that all three statements were false. Let $T$ be the temperature in degrees Celsius. Which of the following intervals represents the set of all possible values of $T$?