Question

If A = [ x:x is a multiple of 3] and B = [x:x is a multiple of 5] , then A - B is ($\overline{A}$ means complement of A)

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Consider the following figure


Fig:1 Green represents (A-B)
Fig:2 Brown represents (A)
Fig:3 Orange represents $U-B=\overline{B}$
Fig:4 Red Represents Intersection of brown and orange area of Fig:2 and Fig:3. Which is $A\cap \overline{B}=A-B$ .