Question

Write the compound statement "If I eat too much, then I'll exercise" in symbols. Then, construct a truth table for the symbolic statement.p = "I eat too much"q = "I'll exercise"

Answer 1

Both statements in the sentence have the following structure:

If I eat too much, then I'll exercise.

If p then q.

When we have this structure, we represent it symbolically as:

`p\to q`

For these cases, the only situation in which the statement is false is when the first part of the sentence is true, and the second false:

p q p->q

T T V

T F F

F T V

F F V

With this, option C is the correct answer.