On the set `Z` of all integers a binary operation * is defined by `a*b=a+b+2` for all `a ,\ b in Z` . Write the inverse of 4.

Explanation

To find the inverse of 4 under the binary operation defined by \( a * b = a + b + 2 \), we will follow these steps:

### Step 1: Identify the identity element
The identity element \( e \) for the operation \( * \) is defined such that for any integer \( a \):
\[ a * e = a \]
Using the operation definition:
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