Let P, Q and R be sets let Δ denote the symmetric difference operator defined…

Let P, Q and R be sets let Δ denote the symmetric difference operator defined as PΔQ = (P U Q) - (P ∩ Q). Using Venn diagrams, determine which of the following is/are TRUE?

1. PΔ (Q ∩ R) = (P Δ Q) ∩ (P Δ R)

2. P ∩ (Q ∩ R) = (P ∩ Q) Δ (P Δ R)