Question

If $U = \{ 0,1,2,3,4\} $, $A = \{ 0,2,4\} $ and $B = \{ 1,2,3\} $ then U-B=
A. {0,4)
B. {1,3}
C. {0,3}
D. {3,4}

Answer 1

Hint: Here we need to find the difference of two sets U and B.

Complete step-by-step answer:
The given sets are $U = \{ 0,1,3,4\} $, $A = \{ 0,2,4\} $ and $B = \{ 1,2,3\} $.
Now we know the definition of the Union set, that is $U = A \cup B$.
Then we get
$
  U - B = \{ 0,1,2,3,4\} - \{ 1,2,3\} \\
  U - B = \{ 0,4\} \\
$
So the required answer is option ‘A’.

Note: The students must have an adequate knowledge about the various types of sets including their properties.