We have two signals x[n] for – 5 ≤ n ≤ 2 and h[n] for 1 ≤ n ≤ 7 being finite duration signals. The range of their convolution is

1
– 4 ≤ n ≤ 9
2
– 5 ≤ n ≤ 7
3
– 3 ≤ n ≤ 8
4
– 3 ≤ n ≤ 6

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