In one aspect is a film comprising: (a) within the range of from 50 to 99 wt % linear low density polyethylene based on the weight of the core composition; and (b) within the range of from 1 to 50 wt % propylene-α-olefin copolymer based on the weight of the core composition, wherein the propylene-α-olefin copolymer possesses: (i) a melting temperature (Tm) of less than 105° C., and (ii) a heat of fusion (Hf) of less than 75 J/g; wherein the film is a cast or blown film. The films have excellent strength and elasticity and are ideal for such applications as stretch wrap.