Question 1000900: 1(a) Given the universal set U={1,2,3,…,9} and the sets
A={1,2,3,4,5}; B={4,5,6,7}; C={1,3,5,7,9}; D={2,4,6,8}.
Find
(i)B-A
(ii)(A-D)c
(iii)(A⋂C)\B
Question 2(a)
Given the functions f and g be defined by f(x) = 5x-4 over
8x-7
and g(x) =3x2-4. Find the formula defining the composition function gοf and fog.
Question 2 (b)
Consider the relation R= {(1,a); (2,d); (3,a); (3,b); (3,d)} and S= {(b,x); (b,z), (c,y); (d,z)}.Find S-1 o R-1
Answer by Edwin McCravy(20064)   (Show Source):
You can put this solution on YOUR website! 1(a) Given the universal set U={1,2,3,…,9} and the sets
A={1,2,3,4,5}; B={4,5,6,7}; C={1,3,5,7,9}; D={2,4,6,8}.
Find
(i)B-A
That's the set of all elements of B that are not elements of B
From B = {4,5,6,7}, we take out any of these A={1,2,3,4,5} which
B contains. A contains 4 and 5, which A also contains, so we
remove 4 and 5 from B and we have {6,7}.
Therefore B-A = {6,7}
(ii)(A-D)c
We first find what's in the parentheses, A-D
From A={1,2,3,4,5}, we take out any of these D={2,4,6,8} which
A contains. D contains 2 and 4, which A also contains, so we
remove 2 and 4 from A and we have {1,3,5}.
So A-D = {1,3,5}
So to find the complement of that set, (A-D)c,
we form the set of all elements in the universal set U={1,2,3,…,9}
which are not elements of A-D, which is {1,3,5}. So we remove
1,3 and 5 from the universal set U={1,2,3,…,9} and we have
{2,4,6,7,8,9}
So (A-D)c = {2,4,6,7,8,9}
We are only supposed to answer 2 questions per post.
Edwin
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