Question

Combine the two conditional statements into a biconditional.

If I am breathing, then I am alive.
If I am alive, then I am breathing.
a) I am breathing if and only if I am alive.
b) I am alive if and only if I am breathing.
c) If I am breathing, then I am not alive.
d) If I am alive, then I am not breathing.

Answer 1

The biconditional statement that combines the two conditional statements 'If I am breathing, then I am alive' and 'If I am alive, then I am breathing' is: a) I am breathing if and only if I am alive.

Step-by-step explanation:

The biconditional statement that combines the two conditional statements 'If I am breathing, then I am alive' and 'If I am alive, then I am breathing' is:

a) I am breathing if and only if I am alive.

This biconditional statement means that breathing is both a necessary and sufficient condition for being alive, and being alive is both a necessary and sufficient condition for breathing.