Question

Given A = {a, b, c, d, e} B = {a, e, i, o, u} C = {c, d, e, u} . Show that A\ (B\C) $\ne$ (A\B)\C

Answer 1

B\C = {a, i, o}

A \ (B\C) = {b, c, d, e} ………………………………………….. (1)

A\B = {b, c, d}

(A\B)\ C = {b} …………………………………………….. (2)

From (1) and (2)

A\ (B\C) $\ne$ (A\B) \ C