Do your own work.

For the alphabet $=\{0,1\},$ consider the language $A=\{1x0|xin{}^{**}\}.$

$($a$)$ Give an informal English description of the set,

$($b$)$ Give examples of two nonempty strings which are in the set and two nonempty strings which are not in the set, and

$($c$)$ Determine whether or not the empty string $$ is in the set.