EXPLANATION
If p<0 , q>0 and p+q = r
r>0 is not true because if, for instante p= -5 and q=1, then p+q = -4
r<0 is not true because if, for instante p= -1 and q=5, then p+q = 4
|r|=|q| is not true because as we can see above, p+q=r is not necessarily equal to q.
Finally, the option that fits is |r| > |q| because |r|=|p+q|>|q|
Answer is |r| > |q|