In theoretical and practical studies, anisotropic parameters expressed in terms of elastic constants proposed by Thomsen in 1986 are widely adopted. Values of elastic constants and Thomsen’s anisotropic parameters cannot be chosen freely. The authors proposed a set of simple inequality anisotropic parameters. The inequality for oblique triplication is simplified from the inequality proposed by Thomsen and Dellinger(2003). The authors also extend the constraints on elastic constants and anisotropic parameters of TI media to those of orthorhombic media.