The charmless three- body decay modes B +/- -> K +/-pi(-)pi(-), B-+/- -> K-+/- (KK-)-K-+/-, B-+/- pi(-) K-K- and B-+/-pi(-)pi(-) are reconstructed using data, corresponding to an integrated luminosity of 3.0 fb(-1), collected by the LHCb detector. The inclusive CP asymmetries of these modes are measured to be [GRAPHICS] where the first uncertainty is statistical, the second systematic, and the third is due to the CP asymmetry of the B +/- J Psi K-+/- reference mode. The distributions of these asymmetries are also studied as functions of position in the Dalitz plot and suggest contributions from rescattering and resonance interference processes.