Consider inequality  This inequality is equivalent to inequality
 This inequality is equivalent to inequality 
This means that 
The greatest integer number n, such that  when dividing by 7 gives the remainder 4 is 39. Then subtract 7, you get 32, then 25 and so on.
 when dividing by 7 gives the remainder 4 is 39. Then subtract 7, you get 32, then 25 and so on.
When n=-39, -32, -25, -18, -11, -4, 4, 11, 18, 25, 32, 39 then dividing by 7 the remainder is 4.
Answer: 12 integers.
 
        
             
        
        
        
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From the given functions, it can be seen that the graph of g(x) represents a shift of 6 units to the left of the graph of f(x).
Given a function, f(x), a shift of k units to the left of f(x) is given by g(x + k).
Therefore, if g(x) = f(x + k), then k = 6.