Part 1: Write two conditional statements for which the converse is true.
1. Statement:
2. Converse:
3. Statement:
4. Converse:
Part 2: Write two conditional statements for which the converse is false.
5. Statement:
6. Converse:
7. Statement:
8. Converse:
Listen my grandmother, Fanester, died a week ago Sunday morning and I was very close to her. I miss her and can't focus on my work. I have other homework to do, and I wanted to know if some one could please help me. Please.
@Kathy, 🧢. <-----CAP
Part 1:
1. Statement: If it is raining, then the ground is wet.
Converse: If the ground is wet, then it is raining.
(Note: The converse is true because if the ground is wet, it implies that it rained at some point.)
2. Statement: If a person is a parent, then they have children.
Converse: If a person has children, then they are a parent.
(Note: The converse is true because if a person has children, it implies that they are a parent.)
Part 2:
5. Statement: If a shape is a square, then it has four sides.
Converse: If a shape has four sides, then it is a square.
(Note: The converse is false because there are other shapes besides squares that can have four sides, such as rectangles and trapezoids.)
6. Statement: If it is winter, then it is cold outside.
Converse: If it is cold outside, then it is winter.
(Note: The converse is false because it can be cold outside during seasons other than winter, such as autumn or spring.)
Regarding your personal situation, I'm sorry to hear about your loss. It is understandable that you might find it difficult to focus on your work during this time. While I can provide assistance in answering questions, it may be beneficial to seek emotional support from friends, family, or professional resources to help you cope with your loss.
I assume you have a basic background in symbolic logic, which helps in solving this kind of problems.
The difference between the two kinds of statements is
A. if statements where the converse is true is of the form:
p <-> q, which has the same truth table as
p->q ∧ q->p
B. if statement where the converse is not (always) true is of the form:
p->q
Statements of type B are encountered more frequently in life, such as:
p->q
"If it rains(p), the street is wet(q)."
The converse is
q->p
"If the street is wet, it rains."
Statements of type A are more like equivalent statements than if statements:
p<->q ≡ (p->q)∧(q->p)
p->q: "If I am a member(p), I pay my dues(q)"
q->p: "If I pay my dues, I am a member".
"If the street is wet