Fact: Two statements X and Y are equivalent, written as X $$ Y$,$ if X $$ Y $($the truth tables for X and Y are the same$).$

Pick all statements that are equivalent to $($A $->$ B$)$ A$$

Group of answer choices

$($A$$ B$)$ A$$

$($A $->$ B$)$ A

$($A$$ B$)$

A $->($B $$ A$)$

$($A $$ B$)$ A$$