Use the following statements to answer questions 2 and 3.
I. If it is warm out and does not rain, then i will go to the beach.
II. If i order strawberry or cookies and craam ice cream then i will be happy.
III. If i go to the party, then i will see Fred.
2. Which of the above statements are conjunctions
A. I Only
B. I and II only
C. I, II, and III
D. II only
3. Which of the above statements are disjunctions?
A. I Only
B. I and II only
C. I, II, and III
D. II only
3, Disjuctions require an either /or type of statement? I only see that in ii.
2. Conjunctions are unions, if a is true, and B is true, then C is true. Otherwise, C is false.
Statements i,iii are conjunctions, as I see them.
Actually, this is Logic. Euler invented diagrams that demonstrated "logic" with what we now call Venn Diagrams. It is not really Geometry, or English. It is logic.
By the way, have you ever heard in English the term ' coordinated conjunction?' In logic, it is the disjunction. OR is the operative word.
In English, the word "and" is the operative word for the logical conjunction.
To find the answer to question 2, we need to identify the conjunctions among the given statements.
A conjunction is a compound statement formed by combining two simple statements with the word "and."
Looking at the statements provided:
I. If it is warm out and does not rain, then I will go to the beach.
Statement I contains the word "and," which is used to connect the conditions "it is warm out" and "it does not rain." Therefore, Statement I is a conjunction.
II. If I order strawberry or cookies and cream ice cream, then I will be happy.
Statement II does not contain the word "and," so it is not a conjunction.
III. If I go to the party, then I will see Fred.
Statement III does not contain the word "and," so it is not a conjunction.
Based on this analysis, only Statement I is a conjunction. Therefore, the answer to question 2 is option A. I Only.
To find the answer to question 3, we need to identify the disjunctions among the given statements.
A disjunction is a compound statement formed by combining two simple statements with the word "or."
Looking at the statements provided:
I. If it is warm out and does not rain, then I will go to the beach.
Statement I does not contain the word "or," so it is not a disjunction.
II. If I order strawberry or cookies and cream ice cream, then I will be happy.
Statement II contains the word "or," which is used to offer a choice between "strawberry" and "cookies and cream" flavors. Therefore, Statement II is a disjunction.
III. If I go to the party, then I will see Fred.
Statement III does not contain the word "or," so it is not a disjunction.
Based on this analysis, only Statement II is a disjunction. Therefore, the answer to question 3 is option D. II only.