Question

Write the two conditional statements that make up the following biconditional.

I drink juice if (and only if) it is breakfast time.

A. If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.

B. If I drink juice, then it is breakfast time.
I drink juice only if it is breakfast time.

C. I drink juice.
It is breakfast time.

D. I drink juice if (and only if) it is breakfast time.
It is breakfast time if (and only if) I drink juice.

I think it is the last one.

Answer 1

The correct answer is A. If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.

This answer is an if-and-only-if conditional statement.
The other options are not.

Answer 2

The two conditional statements are:

A. If I drink juice, then it is breakfast time.

If it is breakfast time, then I drink juice.

Explanation:

Conditional statement--

A conditional statement is a statement of the type:

If p then q

where p is the hypotheses and q is the conclusion.

The biconditional is given as follows:

I drink juice if (and only if) it is breakfast time.

We know that:

p if (and only if) q

means If p then q

and if q then p

i.e. the statement holds both ways.

Hence, the conditional statements are:

A. If I drink juice, then it is breakfast time.

If it is breakfast time, then I drink juice.