Step 1 :The set difference $A - B$ is defined as the set of elements that are in $A$ but not in $B$.
Step 2 :So, we need to find the elements that are in set $A$ but not in set $B$.
Step 3 :The elements in set $A$ are $\{1,4,6,7\}$ and the elements in set $B$ are $\{0,1,4\}$.
Step 4 :Comparing these two sets, we see that the elements $1$ and $4$ are in both sets, so they are not included in the set difference $A - B$.
Step 5 :The elements $6$ and $7$ are in set $A$ but not in set $B$, so they are included in the set difference $A - B$.
Step 6 :Therefore, the set difference $A - B$ is $\{6,7\}$.