Question

the sets \\(f\\) and \\(g\\) are given below.

\\f = \\{-1, 1, 2, 3, 5\\}\\
\\g = \\{-1, 4, 5\\}\\

answer the parts below. write your answers using set notation (in roster form).

(a) find the intersection of \\(f\\) and \\(g\\).

\\f \cap g = \\

(b) find the union of \\(f\\) and \\(g\\).

\\f \cup g = \\

Explanation:

Identify the given sets

We are given:

$$ F = \{-1, 1, 2, 3, 5\} $$

$$ G = \{-1, 4, 5\} $$

Find the intersection of F and G

The intersection \(F \cap G\) contains elements in both sets.
Common elements:

$$ -1, 5 $$

Thus:

$$ F \cap G = \{-1, 5\} $$

Find the union of F and G

The union \(F \cup G\) combines all unique elements.
Combined elements:

$$ -1, 1, 2, 3, 4, 5 $$

Thus:

$$ F \cup G = \{-1, 1, 2, 3, 4, 5\} $$

Answer:

Question 1

(a) Find the intersection of \(F\) and \(G\).
\(F \cap G =\) <blank>\(\{-1, 5\}\)</blank>

Question 2

(b) Find the union of \(F\) and \(G\).
\(F \cup G =\) <blank>\(\{-1, 1, 2, 3, 4, 5\}\)</blank>