Question $6$

$(4)$ Given $L=\{win\{a,b{\}}^{*}$:EExin$\{a,b{\}}^{+}(w=$axa$)\}.$ The correct

statements are:

$L$ is the set of strings over the alphabet $\{a,b\}$ that start and end with $a.$

$L$ is the set of strings over the alphabet $\{a,b\}$ that start and end with $a$

whose length is at least $3.$

$L$ is the set of strings composed of $3$ or more a$\text{'}$s$.$

$$ is in $L.$

aba, aaa are in $L.$

aaa, aaaa, aaaaaa are in $L.$

aa is in $L.$