Pregunta
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.
Ask by Fuentes Stuart. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
**Contrapositive in symbolic form:**
\[
\sim q \rightarrow p
\]
**Contrapositive in word form:**
"If I do not go bungee jumping, then I go shydiving."
Solución
**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."
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
The contrapositive in symbolic form is \( \sim a \rightarrow \sim ni \). This means if I do not go bungee jumping, then I do not go skydiving. It's a way to flip the statement while keeping its original truth intact! In word form, the contrapositive reads: "If I do not go bungee jumping, then I do not go skydiving." This statement essentially reinforces that skipping one thrilling activity might mean skipping the other too!

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