Show that the following pairs of sets S and T are equinumerous by finding a specific bijection between the sets in each pair. (a) S = [0, 1] and T = [1, 4] (b) S = [0, 1] and T = [2, 7] (c) S = [0, 1]...

Show that the following pairs of sets S and T are equinumerous by finding a specific bijection between the sets in each pair.

(a) S = [0, 1] and T = [1, 4]

(b) S = [0, 1] and T = [2, 7]

(c) S = [0, 1] and T = [0, 1)

(d) S = [0, 1) and T = (0, 1)

(e) S = (0, 1) and T = (0, ∞)

(f ) S = (0, 1) and T =