Question

. Write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement and select the best match.
q = The food is good

p = I eat too much.

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

Answer 1

its a if-then statement which is an implication "-> "

there are some "nots" which indicate negations

thus the logical symbol equivalent expression would be:
(~p) -> (~q)

Answer 2

oh sorry i mixed up the p and q

Answer 3

how would u write that

Answer 4

(~q) -> (~p)

Answer 5

how would u write that with T and F

Answer 6

truth table...you want to look at every combination of p,q

i would break it into columns

p q ~p ~q ~q -> ~p
______ -_____ _________
T T F F
T F F T
F T T F
F F T T

now fill out last column using what you know about if-then statements

Answer 7

would the last part be TFTT or TFFF

Answer 8

I think that the rule for "if-then" is this:
The statement evaluates to false only if the "if" is true and the "then" is false.
In all three other cases, the statement evaluates to true.

The only place the its false is the third option down.
That's sorta like thr food is bad and you stuff yourself :P Just kidding. I don't think language is as easily made sense of as math.

So, in the end, I hope you see that it's TTFT from the top down in the missing column of the truth table. The toughest part was understanding the rules of implication, huh?