Question

Write each set in the indicated form.If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set00...(a) Roster form: {1, 2, 3, 4, ...}Set-builder form:[{x | x is an integer and x > 1}Х5?(b) Set-builder form: {y ly is an integer and -1 Sys2}Roster form:

Answer 1

Given

The universal set and subset is given

$\begin{gathered} U=\lbrace f,m,q,r,s,y\rbrace \\ B=\lbrace f,q,s,y\rbrace \\ C=\lbrace f,r,s\rbrace \end{gathered}$Explanation

a. To determine the

$(B\cap C)^{\prime}$

To find the compliment of B intersection C,

$(B\cap C)^{\prime}=B^{\prime}\cup C^{\prime}$

$(B\cap C)^{\prime}=\lbrace m,r\rbrace\cup\lbrace m,q,y\rbrace$

Then the compliment of B intersection C.

$(B\cap C)^{\prime}=\lbrace m,q,r,y\rbrace$

b. To determine the

$\begin{gathered} B^{\prime}\cup C=\lbrace m,r\rbrace\cup\lbrace f,r,s\rbrace \\ B^{\prime}\cup C=\lbrace m,r,f,s\rbrace \end{gathered}$Answer

Hence the answers are

$\begin{gathered} a.\lbrace m,q,r,y\rbrace \\ b.\lbrace m,r,f,s\rbrace \end{gathered}$