If Smith is guilty, then Jones is innocent. If Jones is innocent, then Smith is guilty. Write each biconditional statement in exercises 17 and 18 as two separate statements a conditional statement and its converse

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Mathematics

Kyra Faulkner

4 July, 11:53

If Smith is guilty, then Jones is innocent. If Jones is innocent, then Smith is guilty. Write each biconditional statement in exercises 17 and 18 as two separate statements a conditional statement and its converse

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Veronica Murillo · Answer 1

The required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.

Step-by-step explanation:

From the provided statement.

The statement is: If Smith is guilty, then Jones is innocent.

The converse is: If Jones is innocent, then Smith is guilty.

The combination of a conditional statement and its converse is called biconditional statement.

The biconditional statement contains if and only if phrase between two part of the statement.

Which means the statement and converse both are true.

Therefore, the required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.