sets, question 2, grade 10

29/06/2016 Grade 10 5

2)

Given the two sets: E = {1,2,3,4,5,6,7,8,9}

and D = {0,1,2,3,4}

1)Determine A ; a subset of E ; knowing that card(A) = 4 and

\overline A =\{1,3,5,7,9\} .

2) Find a subset B of E s.t.  B\subset A and\,B \cap A =\{2,4\} .

3) Verify that  \overline A\cup \overline B=\overline B

4) Consider a set C= \{x \in {\Bbb N}/x={n^2}\& n \in D\} .

i) Write C in Roster's notation.

ii) Determine  P(C \cap D)