In each of $1-4$ represent the common form of each argument using letters to stand for component sentences, and fill in the blanks so that the argument in part $($b$)$ has the same logical form as the argument in part $($a$).$

a$.$ If all integers are rational, then the number $1$ is rational.

All integers are rational.

Therefore, the number $1$ is rational.

b$.$ If all algebraic expressions can be written in prefix notation, ther

Therefore, $(a+2b)(a^2-b)$ can be written in prefix notation.

a$.$ If all computer programs contain errors, then this program contains an error.

This program does not contain an error. Therefore, it is not the case that all computer programs contain errors.

b$.$ If then

$2$ is not odd.

Therefore, it is not the case that all prime numbers are odd.

a$.$ This number is even or this number is odd. This number is not even.

Therefore, this number is odd.

b$.$ or logic is confusing.

My mind is not shot. Therefore,

a$.$ If the program syntax is faulty, then the computer will generate an error message.

If the computer generates an error message, then the program will not run.

Therefore, if the program syntax is faulty, then the program will not run.

b$.$ If this simple graph then it is complete.

If this graph then any two of its vertices can be joined by a path. Therefore, if this simple graph has $4$ vertices and $6$ edges, then

Indicate which of the following sentences are statements.

a$.1,024$ is the smallest four$-$digit number that is a perfect square.

b$.$ She is a mathematics major.