SOLUTION: Solve for x where a, p > 0: p|ax + b|-q ≤ 0

The left side is non-negative so q is non-negative.

Case 1:  q = 0 

, and since p > 0, 

ax + b = 0 
    ax = -b
     x = -b/a

So if q=0, then x = -b/a

Case 2: q > 0

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Edwin