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1) Write the following set in Builder Set Notation. a) {0, 3, 6, 9, 12) b) {.3, 2, 1, 0, 1, 2, 3} c) {

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1) Write the following set in Builder Set Notation. a) {0, 3, 6, 9, 12) b) {.3, 2, 1, 0, 1, 2, 3} c) { 10,15,20,25,30,35) 2) Determine whether each of these statements is true or false: a) {1} {1,2,3,4,5) b) x + {x} c) {x} = {x} d) {x} E x) e) {x} {{x}} f) 5 {x} 3) Determine whether each of these sets is a power set of any set, where a and b are distinct elements a) 0 b) {0, {a}} c) {0, {a}, {0, a}} d) {0, {a}, {b}, {a, b}} 4) Briefly justify why the following statements are true or false. a) If A is the set of letters in the word 'flabbergasted,' then |A= 13. b) For the set A in the previous part, we have a A or z E A. c) If B = {nne Z, 10 <>

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