Sets \( E \) and \( F \) are defined as follows. \[ \begin{array}{l}E=\{-2,0,4,8\} \\ F=\{-1,3,4,5,8\}\end{array} \] Answer each part below. Write your answer in roster form or as \( \varnothing \). (a) Find the union of \( E \) and \( F \). \( E \cup F=\square \) (b) Find the intersection of \( E \) and \( F \). \( E \cap F=\square \)

Let's analyze the sets \( E \) and \( F \): \[ E = \{-2, 0, 4, 8\} \] \[ F = \{-1, 3, 4, 5, 8\} \] ### (a) Union of \( E \) and \( F \) The union \( E \cup F \) consists of all elements that are in either \( E \) or \( F \) (or both), without repeating any elements. \[ E \cup F = \{-2, -1, 0, 3, 4, 5, 8\} \] ### (b) Intersection of \( E \) and \( F \) The intersection \( E \cap F \) consists of all elements that are common to both \( E \) and \( F \). \[ E \cap F = \{4, 8\} \] **Final Answers:** (a) \( E \cup F = \{-2,\ -1,\ 0,\ 3,\ 4,\ 5,\ 8\} \) (b) \( E \cap F = \{4,\ 8\} \)