Write the compound statement in symbols
Let r= The food is good p= I eat too much q= I'll exercise
If the food is not good, I won't eat too
much.
~r -> ~p
(r^p)->q
The compound statement can be written as follows:
r -> ¬p
Here's how we arrive at this symbolic representation:
Let's break down the original statement into its constituent parts:
1. The food is good: r
2. I eat too much: p
3. If the food is not good, I won't eat too much.
To represent "If..., then..." statements, we use the symbol "->" (implication). In this case, we have "If r, then ¬p".
Additionally, "not good" can be represented using the negation symbol "¬".
Hence, the resulting compound statement in symbols is: r -> ¬p.