Problem

Let $p$ and $q$ represent the following simple statements $p$ : You are human. q: You have tusks. Write the following compound statement in symbolic form. You have tusks only if you're not human. The compound statement written in symbolic form is

Solution

Step 1 :Let $p$ and $q$ represent the following simple statements: $p$ : You are human, $q$: You have tusks.

Step 2 :Write the following compound statement in symbolic form: You have tusks only if you're not human.

Step 3 :The given compound statement can be broken down into two simple statements: 'You have tusks' and 'You're not human'. These can be represented by the symbols $q$ and $\neg p$ respectively.

Step 4 :The phrase 'only if' in the compound statement indicates a conditional statement, where the first part is the result and the second part is the condition.

Step 5 :Therefore, the compound statement 'You have tusks only if you're not human' can be written in symbolic form as $q \rightarrow \neg p$.

Step 6 :Final Answer: The compound statement 'You have tusks only if you're not human' in symbolic form is \(\boxed{q \rightarrow \neg p}\).

From Solvely APP
Source: https://solvelyapp.com/problems/29320/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download