Answer to Question #309940 in Discrete Mathematics for Safooy

Question #309940

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}



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Expert's answer
2022-03-14T12:25:02-0400

a)

A={0,3,6,9,12}    ={x3n,n=0,1,2,3,4}A = \{0, 3, 6, 9, 12\} \\ ~~~~= \{x\mid 3n, n=0,1,2,3,4\}

b)

B={3,2,1,0,1,2,3}    ={xZ3x3}B = \{−3,−2,−1, 0, 1, 2, 3\}\\ ~~~~=\{ x\in \Z \mid -3\leq x \leq 3\}


c)

C={m,n,o,p}    ={xm,n,o,p}C = \{m, n, o, p\}\\ ~~~~=\{x | m,n,o,p\}



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