The figure shown below is the pole zero plot for the z-transform X(z) of a sequence x[n].

The ROC (region of convergence) for x[n] to be a right signal and ROC for x[n] to be a left sided signal are respectively

1
|z| > 1/3 and |z| < 2
2
|z| > 2, |z| < 1/3
3
1/3 < |z| < 2 and |z| < 1/3
4
|z| > 2, 1/3 < |z| < 2

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