Question

Find the symmetric difference between the following sets

P = {2, 3, 5, 7, 11} and Q = {1, 3, 5, 11}

Answer 1

P = {2, 3, 5, 7, 11}

Q = {1, 3, 5, 11}

P – Q = {2, 3, 5, 7, 11} – {1, 3, 5, 11}

= {2, 7}

Q – P = {1, 3, 5, 11} – {2, 3, 5, 7, 11}

= {1}

P ∆ Q = (P – Q) ∪ (Q – P)

= {2, 7} ∪ {1}

= {1, 2, 7}