Use set builder notation to give a description of each of these sets. a) {0, 3, 6, 9, 12} b) {−3,−2,−1, 0, 1, 2, 3} c) {m, n, o, p}
a)
A={0,3,6,9,12} ={x∣3n,n=0,1,2,3,4}A = \{0, 3, 6, 9, 12\} \\ ~~~~= \{x\mid 3n, n=0,1,2,3,4\}A={0,3,6,9,12} ={x∣3n,n=0,1,2,3,4}
b)
B={−3,−2,−1,0,1,2,3} ={x∈Z∣−3≤x≤3}B = \{−3,−2,−1, 0, 1, 2, 3\}\\ ~~~~=\{ x\in \Z \mid -3\leq x \leq 3\}B={−3,−2,−1,0,1,2,3} ={x∈Z∣−3≤x≤3}
c)
C={m,n,o,p} ={x∣m,n,o,p}C = \{m, n, o, p\}\\ ~~~~=\{x | m,n,o,p\}C={m,n,o,p} ={x∣m,n,o,p}
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