QuestionIdentify the two conditional statements from: "You live in Olympia if and only if you live in the capital of Washington." Options: A, B, C, D.
Studdy Solution
STEP 1
Assumptions1. The biconditional statement is "You live in Olympia if and only if you live in the capital of Washington."
. A biconditional statement is a statement that can be written in the form "p if and only if q."
3. This means that both "if p then q" and "if q then p" are true.
4. Olympia is the capital of Washington.
STEP 2
We need to write the two conditional statements that form the biconditional statement. The first conditional statement is formed by taking the first part of the biconditional statement as the hypothesis and the second part as the conclusion.
STEP 3
The second conditional statement is formed by taking the second part of the biconditional statement as the hypothesis and the first part as the conclusion.
So, the two conditional statements that form the given biconditional statement areC. If you live in Olympia, then you live in the capital of Washington.
. If you live in the capital of Washington, then you live in Olympia.
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