Part 4 of 4 Given the conditional statement if I do not go shydiving, then I go bungee jumping." find the following in symbols and in words. ni: I go edyetiting. a: I go bungee jumping. The contrapositive in symbolic form is $$ \sim ッ \rightarrow \sim $$ q $$ p \rightarrow \sim q $$ $$ p \rightarrow q $$ $$ \sim q \rightarrow \sim p $$ $$ \sim q \rightarrow p $$ The contrapositive in word form is If I do not go shydiving, then I do not go bungee jumping. If I do not go bungee jumping, then I go slydiving. If I go shydiving, then I go bungee jumping. If I go bungee jumping, then I go shydiving.

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UpStudy AI · Accepted Answer

**Step 1.** Define the propositions.  
Let  
$$ p $$ be "I go shydiving" and  
$$ q $$ be "I go bungee jumping."

The given conditional statement is:  
"If I do not go shydiving, then I go bungee jumping," which in symbolic form is:  
$$
\sim p \rightarrow q
$$

**Step 2.** Form the contrapositive.  
The contrapositive of any conditional statement $$ r \rightarrow s $$ is $$ \sim s \rightarrow \sim r $$. Applying this to our statement, we have:  
$$
\sim q \rightarrow p
$$

**Step 3.** Express the contrapositive in words.  
The symbolic form $$ \sim q \rightarrow p $$ translates to:  
"If I do not go bungee jumping, then I go shydiving."

Thus, the answers are:

- **Contrapositive in symbolic form:**  
  $$
  \sim q \rightarrow p
  $$

- **Contrapositive in word form:**  
  "If I do not go bungee jumping, then I go shydiving."
**Contrapositive in symbolic form:** $$ \sim q \rightarrow p $$ **Contrapositive in word form:** "If I do not go bungee jumping, then I go shydiving."

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