Question

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}

Answer 1

a)

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

b)

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

c)

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