This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

Give a recursive definition of

Ch $05$ Sec $3$ Ex $25($c$)-$ Recursive Definition

the set of positive integers not divisible by $5.$

Multiple Choice

BASIS STEP: $1$ in S

RECURSIVE STEP: If x in S$,$ then x $5$ in S$.$

BASIS STEP: $5$ in S

RECURSIVE STEP: If x in S$,$ then x $+5$ in S$.$

BASIS STEP: $1$ in S$,2$ in S$,3$ in S$,$ and $4$ in S

RECURSIVE STEP: If x in S$,$ then x $+5$ in S$.$

BASIS STEP: $1$ in S$,2$ in S$,3$ in S$,4$ in S$,$ and $5$ in S

RECURSIVE STEP: If x in S$,$ then x $5$ in S$.$