Practice Problems $1$

Be sure to provide an answer for each question. You may work with other students as well as use your notes, the book, and the internet. Do make sure you understand how to solve the problems and answer the questions, as similar ones may appear on the exams.

Given the following sets, for each set operation provide the elements of the resulting set in set notation or using a well$-$known set, i$.$e$.N,$ the set of natural numbers. $32$ pts$.(4$ pts$.$ each$)$

Z$,$ the set of all integers

$Z+,$ the set of all positive integers

Z$-,$ the set of all negative integers

A$,$ the set of all integers evenly divisible by $3$

$B=\{5,6,10,11\}$

$C=\{3,5,12,15\}$

$D=\{4,7,10\}$

$E=\{5,7,17\}$

c$.$ Anc $\{3,12,15\}$

d$.(Bo+D)o+E\{4,6,11\}$

$?$ e$.$ AUD

f$.$ E$-$D $5,173$

g$.D-E$&$4\mathrm{.}103$

h$.(Z-Z+)-Z-\{,\}$

$2.$ Given the following sets, for each set operation provide the elements of the resulting set in set notation or the cardinality of the set. $24$ pts$.(4$ pts$.$ each$)$

$A=\{2,3,4,5\}$

$B=\{-2,-3,-4\}$

$C=\{-2,0,2,3,4,5\}$

$D=\{3,4,5,6,7,8\}$