Given : a, b ∈ Ra * b = max {a, b} and a o b = min {a, b}Let, a, b, c ∈ R Such that a < b < c.∴ a * (b o c) = a * [min (b, c)] = a * b= max (a, b) = b....(i)Now,a * b = max (a, b) = ba * c = max (a, c) = c∴ (a * b) o (a * c) = b o c= min (b, c) = b ... (ii)From (i) and (ii)a * (b o c) = (a * b) o (a * c)