Problem $1$: For each item, create a mathematical statement $P(n)$ that satisfies

the conditions.

For example:

Question $-P(n)$ is true if n is divisible by $3,$ but false otherwise.

Possible Answer $-P(n)$:nmod$3=0$

$($a$)$ Assume n is an integer. $P(n)$ is true if n is a binary bit $(0$ or $1),$ but false

otherwise.

$($b$)$ Assume n is an integer. $P(n)$ is false if n is even, but true otherwise.

$($c$)$ Assume n is a real number. $P(n)$ is false if n is an integer, but true

otherwise.

$($d$)$ Assume n is a complex number. $P(n)$ is false if n is a real number, but

true otherwise.

$($e$)$ Optional: Assume n is a real number. $P(n)$ is false if n is a rational num$-$

ber, but true otherwise.

Need help withh all parts, Thank you