  Quantum inseparabilities can be classified into three inequivalent forms:
entanglement, Einstein-Podolsky-Rosen (EPR) steering, and Bell's nonlocality.
Bell-nonlocal states form a strict subset of EPR steerable states which also
form a strict subset of entangled states. Recently, EPR steerable states are
shown to be fundamental resources for one-sided device-independent quantum
information processing tasks and, hence, identification of EPR steerable states
becomes important from foundational as well as informational theoretic
perspectives. In the present study we propose a new criteria to detect whether
a given two-qubit state is EPR steerable. From an arbitrary given two-qubit
state, another two-qubit state is constructed in such a way that the given
state is EPR steerable if the new constructed state is entangled. Hence, EPR
steerability of an arbitrary two-qubit state can be detected by detecting
entanglement of the newly constructed state. Apart from providing a distinctive
way to detect EPR steering without using any steering inequality, the novel
finding in the present study paves a new direction to avoid locality loophole
in EPR steering tests and to reduce the "complexity cost" present in
experimentally detecting EPR steering. We also generalise our criteria to
detect EPR steering of higher dimensional quantum states. Finally, we
illustrate our result by using our proposed technique to detect EPR
steerability of various families of mixed states.
