In an electron capture, electron from K shell falls into a nucleus to undergo beta decay.
During a negative beta decay, a neutron in the nucleus decays emitting an electron.
For the (positron) emission from a nucleus, there is another competing process known as electron capture (electron from an inner orbit, say, the K−shell, is captured by the nucleus and a neutrino is emitted).
Show that if emission is energetically allowed, electron capture is necessarily allowed but not vice−versa.