Question

Identify the converse of the statement "A → B: If x = 3, then x + 8 = 11." Question 3 options: A) B → A: If x + 8 = 11, then x = 3. B) ∼A → B: If x ≠ 3, then x + 8 = 11. C) ∼A → ∼B: If x ≠ 3, then x + 8 ≠ 11. D) A ↔ B: x = 3 if and only if x + 8 = 11.

Answer 1

Answer: A) B → A: If x + 8 = 11, then x = 3.

In other words, it's the first answer choice.

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Explanation:

For the general conditional statement $P \to Q$, the converse of this is $Q \to P$. We flip the antecedent and conditional. We don't negate any of the pieces.