For the following sentences, assign P $,$ Q$,$ etc. to each statement and write each sentence

as a logical expression using logical operators.

$($a$)$ If the computer is turned off, then you cannot use it$.$

$($b$)$ Whenever Rover the dog has had dinner and run seven laps around the yard, Rover

takes a nap.

$($c$)$ If for real number x$,|$x$|=3,$ then either x $=3$ or x $=3$