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Translate the statement "The forest is dark or the moon is full" into symbols, then construct a truth table.p = The forest is darkq = The moon is full

User Amitection
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1 Answer

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We have the 2 statements p and q.

We can see them both in the sentence connected by the word or:

The forest is dark or the moon is full.

When 2 statements are connected by the word or, we call it a disjunction.

We represent the or symbolically with ∨. Then, a symbolic expression for the sentence is p∨q.

To build the truth table, we need to consider that for a disjunction to be false, both statements in the disjunction should be false. Then, for the truth table:

p q p∨q

T T T

T F T

F T T

F F F

With this, the correct answer is option A.

User Antoine Cloutier
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