Write the two conditional statements that make up the following biconditional. I drink juice if (and only if) it is breakfast time.
If it is breakfast time, then I drink juice.
If I drink juice, then it is breakfast time.
The two conditional statements that make up the given biconditional are:
1. If it is breakfast time, then I drink juice.
2. If I drink juice, then it is breakfast time.
To determine the two conditional statements that make up the given biconditional statement "I drink juice if (and only if) it is breakfast time," we need to understand how biconditionals work.
A biconditional statement, denoted by "if and only if," is a compound statement that consists of two conditional statements. In a biconditional, the statement on the left and the statement on the right must imply each other. Therefore, to determine the two conditional statements, we can break down the given biconditional statement into two parts:
1. If it is breakfast time, then I drink juice.
2. If I drink juice, then it is breakfast time.
So, the two conditional statements that make up the given biconditional are:
1. If it is breakfast time, then I drink juice.
This can be represented symbolically as: breakfast time -> I drink juice.
2. If I drink juice, then it is breakfast time.
This can be represented symbolically as: I drink juice -> breakfast time.
Remember that in a biconditional statement, both these conditional statements are true.