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.