Fill in the blank using `lt,gt` or = to make the statement correct
`3+(-2)`_________`3+(-3)`

Answer

To solve the problem, we need to evaluate both expressions on either side of the blank and then compare the results.

### Step 1: Evaluate the first expression, \(3 + (-2)\).
- We can rewrite this as \(3 - 2\).
- Now, calculate \(3 - 2\):
\[ 3 - 2 = 1 \]

### Step 2: Evaluate the second expression, \(3 + (-3)\).
- We can rewrite this as \(3 - 3\).
- Now, calculate \(3 - 3\):
\[ 3 - 3 = 0 \]

### Step 3: Compare the results.
- We have the results from the two expressions:
- The first expression evaluates to \(1\).
- The second expression evaluates to \(0\).

Now, we need to determine the relationship between \(1\) and \(0\):
- Since \(1\) is greater than \(0\), we can conclude that:
\[ 1 > 0 \]

### Step 4: Fill in the blank.
- Therefore, we can fill in the blank with the greater than sign:
\[ 3 + (-2) \, \text{gt} \, 3 + (-3) \]

### Final Statement:
\[ 3 + (-2) \, > \, 3 + (-3) \]

---