Question

1. Let S and R be two relations below. R = {(1, 3), (1, 2), (8,...

1. Let S and R be two relations below.

R = {(1, 3), (1, 2), (8, 0), (6, 9)}
S = {(7, 5), (1, 6), (3, 1), (0, 3), (9, 4), (8, 6)}

Please find S◦R and R◦S.

  1. Given two relations S and R on Z below, please determine the following relations.

R = {(a, b) |a + 2 = b}

S = {(a, b) |3a > b}

(a) R−1

(b) R

(c) R◦R

(d) R−1 ◦ R

(e) R−1 ◦ S

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