Write a SQL query and a relational algebra expression using the following schemas:

R(A B C D) ;

S(A E F); ?A(S) ? ?A(R)

T(A B G H) ?AB(T) ? ?AB(R)

1. All attributes from all relations, ignoring relationships.

2. R.A, R.B, R.C, R.D, S.E, S.F, T.G, T.H, where R.A = S.A, R.A = T.A, R.B = T.B

3. R.A, R.B, R.C, R.D, S.E, S.F, T.G, T.H, where R.A = S.A, R.A = T.A, R.B = T.B and S.F < 100

4. R.A, R.D, S.E where R.A = S.A and S.E < T.G and T.H < S.F.

5. The product of R with itself, where R.C < R.D and with the attributes renamed to foo, bar, bin, baz.