Write the converse of each of the following statements, In which cases is the converse true ?
In order to ger this job, I must be a graduate.

Answer

To solve the problem, we will first identify the original statement and then write its converse. Finally, we will discuss under which conditions the converse statement is true.

### Step-by-step Solution:

1. **Identify the Original Statement**:
The original statement is: "In order to get this job, I must be a graduate."
- Let \( P \) be the statement "I get this job."
- Let \( Q \) be the statement "I am a graduate."

2. **Write the Original Statement in Implication Form**:
The original statement can be expressed in the implication form:
\[ P \implies Q \]
This reads as "If I get this job (P), then I must be a graduate (Q)."

3. **Write the Converse**:
The converse of the implication \( P \implies Q \) is \( Q \implies P \).
- This means we will switch the statements:
\[ Q \implies P \]
This reads as "If I am a graduate (Q), then I get this job (P)."

4. **Analyze the Converse**:
Now, we need to determine under which conditions the converse statement \( Q \implies P \) is true.
- The converse is true if being a graduate guarantees that one gets the job. This can depend on various factors such as:
- The job specifically requires a graduate degree.
- The employer only hires graduates for the position.
- There are no other qualifications or experiences that could lead to getting the job without being a graduate.

### Final Statements:
- **Original Statement**: "In order to get this job, I must be a graduate." (If I get this job, then I am a graduate.)
- **Converse Statement**: "If I am a graduate, then I get this job." (If I am a graduate, then I get this job.)
- **Conditions for Converse to be True**: The converse is true if the job is exclusively available to graduates, meaning that all graduates will be hired for the job.