In: Advanced Math
Let S be the set of all integers x ∈ {1,2,...,100} such that the decimal representation of x does not contain the digit 4. (The decimal representation does not have leading zeros.) • Determine the size of the set S without using the Complement Rule. • Use the Complement Rule to determine the size of the set S. (You do not get marks if you write out all numbers from 1 to 100 and mark those that belong to the set S.)