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 is an integer and x > 1Х5?(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}`Step-by-step 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}`