hey guys just checking if my answer is correct,

show that: $\displaystyle \overline{\overline{A} \cap {B}} = {A} \cup \overline{B}$ using laws of sets.

so: $\displaystyle \Longrightarrow \overline{\overline{A} \cap {B}} = \overline{\overline{A}} \cup \overline{B} = {A} \cup \overline{B}$

therefore: $\displaystyle \overline{\overline{A} \cap {B}} = {A} \cup \overline{B}$

thanks!