sets, question 3, grade 10

01/07/2016 Grade 10 3,563

3)

Given a set E = {0,1,,2,3,4,5,6,7,8,9,10}

a) Find in Roster's notation 3 subsets of E; A,B,&C knowing that:

\overline A = {0,2,4,6,8,10} ; B =  \{x\in E/x\,is\,a\,divisor\,of\,12\} ; card P(C) = 8,  C\cap A =\{ 3,9\} \,\,\,\& \,\,\,C \cap B=\{ 3,6\}

b) Write each of A and C in Set Builder's Notation.

c) Verify that  C\cap\left({A\cup B}\right)=C .

d) Find  \overline {A\cup B}