2. [15 points] Using the distributive law, S1(S2S3)=(S1S2)(S1S3), show that S1S2(S1S2)=S2 Hint: for any two sets S and T,ST=ST

2. [15 points] Using the distributive law, Sl n (S2 IJ S3) = (Sl nS2) U (Sl nS3) , show that Sl U S2 Hint: for any two sets S and T, S T = S n T.