Question

sets e and a are defined as follows.
$e=\\{-1, 2, 4, 6, 7\\}$
$a=\\{-1, 2, 3, 5, 7\\}$
answer each part below. write your answer in roster form or as $\emptyset$.
(a) find the intersection of e and a.
$e \cap a = \square$
(b) find the union of e and a.
$e \cup a = \square$

Explanation:

Step1: Identify common elements (intersection)

The intersection $E \cap A$ includes all elements present in both $E$ and $A$.
Common elements: $-1, 2, 7$

Step2: Combine all unique elements (union)

The union $E \cup A$ includes all unique elements from $E$ and $A$.
Combined unique elements: $-1, 2, 3, 4, 5, 6, 7$

Answer:

(a) $E \cap A = \{-1, 2, 7\}$
(b) $E \cup A = \{-1, 2, 3, 4, 5, 6, 7\}$