8. Use an abbreviated table to determine whether the following arguments are valid or invalid.
a. (A ∨ B) ⊃ C, (B ∙ C) ⊃ D, ∴ A ∨ D
b. F ∙ (G ≡ H), I ⊃ (J ∨ K), (F ∙ G) ∨ K, ∴ I ∨ H
c. P ≡ (Q ≡ R), Q ≡ (S ≡ T), S ≡ (T ⊃ P), ∴ R ≡ S

answer: actually say important questions so people don't have to waste time answering yours.

explanation:

plus that's just how the creator's wanted him to be like

i would imagine your answer to be b.

i'm not could be wrong.

(also for future reference, their is an 'arts' category. : )

answer:

2

explanation:

1+1 = 2

the reason this is so is because of basic addition. we can double check this without using addition if you really want. if you take 1+1=x, subtract 1 from both sides than you get 1 = x - 1. subtract x from both sides and you get 1 - x = -1. subtract 1 from both sides again and you get -x = -2. finally, multiply both sides by -1 to get x = 2. subtraction is still technically addition you say? fine, have it your way. 1 + 1 = x. by definition, adding something to itself is the same thing as multiplying it by 2. this means we can technically rewrite the equation as

1 * 2 = x. now all we have to do is solve it. 1 * 2 = x when simplified results in 2 = x, or x = 2. this shows 1 + 1 = x. you say you want a real answer. you want me to start you from the ground up? well i would, but that would practically just be stealing from what was written on this website: go check it out if you really need to.