a) find the union of J and A.b) find the intersection of J and A

Consider the given sets,
[tex]\begin{gathered} J=\lbrace-1,2,5,8\rbrace \\ A=\lbrace-2,3,4,5,8\rbrace \end{gathered}[/tex]The union set contains the elements which belong to either one of the sets or both.
So the union set of J and A is given by,
[tex]J\cup A=\lbrace-2,-1,2,3,4,5,8\rbrace[/tex]The intersection contains the elements which are present in both the sets i.e common to both the sets.
So the intersection set is given by,
[tex]J\cap A=\lbrace5,8\rbrace[/tex]Thus, the union and intersection sets are {-2,-1,1,2,3,4,5,8} and {5,8}, respectively.