Recall that Algebraic notation denotes the squares of the chess board as {a, b, c, d, e, f, g, h} × {1, 2, 3, 4, 5, 6, 7, 8}, as in Figure 2.42. For each of the following questions, identify sets S...

Recall that Algebraic notation denotes the squares of the chess board as {a, b, c, d, e, f, g, h} × {1, 2, 3, 4, 5, 6, 7, 8}, as in Figure 2.42. For each of the following questions, identify sets S and T such that the set of cells containing the designated pieces can be described as S

1.the white rooks (R)

2. the bishops (B, white or black)

3. the pawns (p, white or black)

4. no pieces at all