Question

U is the set of furniture stores
A is the set of furniture stores that sell mattresses
B is the set of furniture stores that sell outdoor furniture
C is the set of furniture stores that sell leather furniture

Based on the above given information describe the following sets.

1. A∩B
2. A′∪C′
3.A∩B∩C

Answer 1

1. \[A\]intersection B = the set of furniture stoes that sells matresses AND outdoor furniture
2.A' = stores that dont sell matresses; c' = stores that dont sell leather furniture
i.e B- [(B intersection A) +( B intersection C)]
3. the total number of stores that sell all three items. (i.e. middle part of intersection)