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Write the compound statement "If the food is not good, I won't eat too much" in symbols. Then, construct a truth table for the symbolic statement.r = "The food is good"p = "I eat too much"

Write the compound statement "If the food is not good, I won't eat too much&quot-example-1

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We see that the prase is compounded by the negation of r and q (~r and ~q), and with the following structure:

If the food is not good, I won't eat too much

If ~r then ~p

Represented symbolically as:

~r -> ~p

We can build the truth table:

r p ~r ~p ~r->~p

T T F F T

T F F T T

F T T F F

F F T T T

This, recalling that in the conditional (->), the statement is false only when the first part is true and the second false.

Then, the correct answer is option A.

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