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2. (24 points: 3 points each) Write the sets resulting from the following set contatenations. Use the dot-dot form for infinite sets. For the dot-dot

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2. (24 points: 3 points each) Write the sets resulting from the following set contatenations. Use the "dot-dot" form for infinite sets. For the dot-dot form, list as many members as needed to show the pattern of the strings and end with ...}. An example is {a, aa, aaa, .. ...} below. (a) {1, a,b} {c, d, e} (b) {a,b} {\,c,d, e} (e) {1, a,b} {1, c, d, e} (d) {6}{a, aa, aaa, ...} (e) {b}{\, a, aa, aaa, ...} (f) {6}{a}* (g) {b}{a}*{b} (h) {a}{a}* 3. (26 points: 3+10 points each) State whether the following equalities are true or false (3 points). Explain your answer (10 points). (a) {a}*{b}* = {a}* U{b}* (b) {a}* U{b}* = {6}* U {a}*

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