For the universal set U= {0,1,2,3,4,5,6,7}
And the sets A={1,5}, B={1,2,3,4}
And C= {4, 6} lists the elements in the following
Sets.
a. A ¢¯ B
b. A U Bf
c. A ¢¯(B U C)
d. C ¢¯ (B ¢¯ A)f
U means: state all elements that you find in either one set OR the other
¡û means: state all elements that you find in both one set AND the other
so let's do c)
A ¡û (B U C)
= A ¡û {1,2,3,4,6}
= {1,5} ¡û {1,2,3,4,6}
={1}
U means: state all elements that you find in either one set OR the other
¡û means: state all elements that you find in both one set AND the other
so let's do c)
A ¡û (B U C)
= A ¡û {1,2,3,4,6}
= {1,5} ¡û {1,2,3,4,6}
={1}
Do i have a correct. {1, 5}
I do not get D. can you explain it to me?
To determine the elements in the set C ¯ (B ¯ A), we need to first find the elements in the set B ¯ A, and then find the elements in the set C ¯ (B ¯ A).
Let's start by finding the elements in B ¯ A. This means finding the elements in set B that are not in set A.
Set B = {1, 2, 3, 4}
Set A = {1, 5}
To find B ¯ A, we simply remove the elements of A from B:
B ¯ A = {2, 3, 4}
Now, let's find the elements in C ¯ (B ¯ A). This means finding the elements in set C that are not in set B ¯ A.
Set C = {4, 6}
Set B ¯ A = {2, 3, 4}
To find C ¯ (B ¯ A), we remove the elements of B ¯ A from C:
C ¯ (B ¯ A) = {6}
Therefore, the elements in the set C ¯ (B ¯ A) are {6}.
So, the correct answer for d) is {6}.