1. Pizza and a (short) Movie! Tomorrow (Friday), 1 – 2 p.m., here!

2. The equivalence relation R = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (1,3), (3,1), (3,6), (6,3), (1,6), (6,1), (2,7), (7,2)} is defined on set A = {1,2,3,4,5,6,7}. Find 2/R. (1) {(1,3), (3,1), (3,6), (6,3), (1,6), (6,1), (2,7), (7,2)}. (2) {{1,3}, {3,1}, {3,6}, {6,3}, {1,6}, {6,1}, {2,7}, {7,2}}. (3) {{1,2,3}, {4,5}, {6,7}} (4) {(2,7), (7,2)} (5) 7 (6) {7} (7) {2,7}

3. The equivalence relation R = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (1,3), (3,1), (3,6), (6,3), (1,6), (6,1), (2,7), (7,2)} is defined on set A = {1,2,3,4,5,6,7}. Find 3/R. (1) {(1,3), (3,1), (3,6), (6,3), (1,6), (6,1), (2,7), (7,2)}. (2) {{1,3}, {3,1}, {3,6}, {6,3}, {1,6}, {6,1}, {2,7}, {7,2}}. (3) {{1,3, 6}, {2,7}} (4) {{1,3,6}, {2,7}, {4}, {5}} (5) {1,6} (6) {1,3,6} (7) {2,7}

4. The equivalence relation R = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (1,3), (3,1), (3,6), (6,3), (1,6), (6,1), (2,7), (7,2)} is defined on set A = {1,2,3,4,5,6,7}. Find 5/R. (1) {(1,3), (3,1), (3,6), (6,3), (1,6), (6,1), (2,7), (7,2)}. (2) {{1,3}, {3,1}, {3,6}, {6,3}, {1,6}, {6,1}, {2,7}, {7,2}}. (3) 5 (4) {5} (5) {(5,5)} (6) {5,5} (7) {2,7}

5. Give the partition of A = {1,2,3,4,5,6,7} associated with the following equivalence relation: R = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (1,3), (3,1), (3,6), (6,3), (1,6), (6,1), (2,7), (7,2)}. (1) {(1,3), (3,1), (3,6), (6,3), (1,6), (6,1), (2,7), (7,2)}. (2) {{1,3}, {3,1}, {3,6}, {6,3}, {1,6}, {6,1}, {2,7}, {7,2}}. (3) {{1,2,3}, {4,5}, {6,7}} (4) {{1,3,5,7},{2,4,6}} (5) {{1,3,6}, {2,7}} (6) {{1,3,6}, {2,7}, {4}, {5}} (7) {{1,5}, {2,4}, {3,6}, {7,1}}

6. Give the partition of A = {1,2,3,4,5,6,7} associated with the following equivalence relation: R = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (1,5), (5,1), (3,6), (6,3)}. (1) {(1,3), (3,1), (3,6), (6,3), (1,6), (6,1), (2,7), (7,2)}. (2) {{1,3}, {3,1}, {3,6}, {6,3}, {1,6}, {6,1}, {2,7}, {7,2}}. (3) {{1,5}, {3,6}, {2}, {4}, {7}} (4) {{1,3,5,7},{2,4,6}} (5) {{1,3,6}, {2,7}} (6) {{1,3,6}, {2,7}, {4}, {5}} (7) {{1,5}, {2,4}, {3,6}, {7,1}}

7. Give the equivalence relation associated with the following partition of A = {1,2,3,4,5,6,7}. Partition is: {{1,4,5}, {3,6}, {2}, {7}} (1) {(1,4), (1,5), (4,5), (3,6)}. (2) {(1,4), (4,1), (1,5), (5,1), (4,5), (5,4), (3,6), (6,3)}. (3) {{1,4}, {4,1}, {1,5}, {5,1}, {4,5}, {5,4}, {3,6}, {6,3}}. (4) {(1,4,5), (3,6), (2,2), (7,7)} (5) {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (1,4), (4,1), (1,5), (5,1), (4,5), (5,4), (3,6), (6,3)}. (6) {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (1,5), (2,4), (3,6), (7,1)}