Which of the following statement is equivalent to the statement "If 2+2=4 then India is a country"?

Question

Which of the following statement is equivalent to the statement "If 2+2=4 then India is a country"? (A) 2 + 2 = 4 or India is a country (B) 2 + 2 = 4 and India is a country (C) 2 + 2 ≠ 4 or India is a country (D) 2 + 2 = 4 or India is not a country

Tardigrade Admin · Accepted Answer

Let p:2+2=4 q: India is a country p arrow q≡ ∼ p∨ q

Q. Which of the following statement is equivalent to the statement "If $2 + 2 = 4$ then India is a country"?

$2 + 2 = 4$ or India is a country

$2 + 2 = 4$ and India is a country

$2 + 2 \neq = 4$ or India is a country

$2 + 2 = 4$ or India is not a country

Let $p : 2 + 2 = 4$
$q :$ India is a country
$p \to q \equiv\sim p \lor q$

Q. Which of the following statement is equivalent to the statement "If 2+2=4 then India is a country"?

2+2=4 or India is a country

2+2=4 and India is a country

2+2=4 or India is a country

2+2=4 or India is not a country