7:29 PM Wed Jan 29 〒 28\% Emilio Mejia Felic... G. 4 Unions and intersections of sets Video 09:19 V Let $$ F=\{-8,-7,-6,-2\} $$ and $$ G=\{-12,-7,-5,2\} $$. What is $$ F \cap G $$ ? $$ \{-12,-8,-6,-5\} $$ $$ \{-7\} $$ $$ \{-12,-8,-6,-5,-2,2\} $$ $$ \{-12,-8,-7,-6,-5,-2,2\} $$

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To find the intersection of sets $$ F $$ and $$ G $$, denoted as $$ F \cap G $$, we need to identify the elements that are common to both sets.

Given:
$$
F = \{-8, -7, -6, -2\}
$$
$$
G = \{-12, -7, -5, 2\}
$$

**Step-by-Step Analysis:**

1. **Identify Common Elements:**
   - **-8:** Present in $$ F $$ but not in $$ G $$.
   - **-7:** Present in both $$ F $$ and $$ G $$.
   - **-6:** Present in $$ F $$ but not in $$ G $$.
   - **-2:** Present in $$ F $$ but not in $$ G $$.
   - **-12:** Present in $$ G $$ but not in $$ F $$.
   - **-5:** Present in $$ G $$ but not in $$ F $$.
   - **2:** Present in $$ G $$ but not in $$ F $$.

2. **Conclusion:**
   The only element common to both $$ F $$ and $$ G $$ is **-7**.

Therefore, the intersection $$ F \cap G $$ is:
$$
\{-7\}
$$

**Answer:** $$ \{-7\} $$
The intersection $$ F \cap G $$ is $$ \{-7\} $$.

7:29 PM Wed Jan 29 〒 28\% Emilio Mejia Felic... G. 4 Unions and intersections of sets Video 09:19 V Let \( F=\{-8,-7,-6,-2\} \) and \( G=\{-12,-7,-5,2\} \). What is \( F \cap G \) ? \[ \{-12,-8,-6,-5\} \] \( \{-7\} \) \( \{-12,-8,-6,-5,-2,2\} \) \( \{-12,-8,-7,-6,-5,-2,2\} \)

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