Use the Law of Detachment to make a conclusion between the statements A, and E. Then use Statement B to determine the truth value of the given statement.
Truth Value:may be true Explanation: See solution.
Practice makes perfect
The following statements are given and we will assume that they are true.
A. If Maria is drinking juice, then it is breakfast time.
B. If it if lunchtime, then Kira is drinking milk and nothing else.
C. If it is mealtime, then Curtis is drinking water and nothing else.
D. If it is breakfast time, then Julio is drinking juice and nothing else.
E. Maria is drinking juice.
Let's make some conclusions to determine the truth value of the given statement. Since Statement E matches the hypothesis of Statement A, let's use the Law of Detachment to make a conclusion between Statement E and Statement A.
If p → q &is true
and p &is true,
then q &is true.
Having used the Law of Detachment, we can make a valid conclusion.
Conclusion I
It is breakfast time.
Now, we are ready to determine the truth value of the following statement.
Statement
Kira is drinking milk.
Looking at Conclusion I and Statement B, we can say that the given statement may be true. We do not know what Kira drinks at breakfast so it may be milk.
