The shaded portion in the venn diagram above represents?
Answer Details
The shaded portion in the Venn diagram represents the set of elements that belong to set F, but do not belong to the intersection of sets E and F (E ∩ F) or the intersection of sets G and F (G ∩ F). In symbols, we can represent this set as:
F - (E ∩ F) - (G ∩ F)
This can be read as "the set of elements in F that are not in both E and F, and are not in both G and F".
For example, if we think of the sets as categories, where F is the category of "fruits", E is the category of "apples", and G is the category of "oranges", then the shaded region represents the fruits that are not both apples and fruits, and are not both oranges and fruits. So, this would include fruits that are not apples or oranges, such as bananas, grapes, or strawberries, as well as fruits that are both apples and oranges, such as tangelos.
Therefore, the answer is:
F - (E ∩ F) - (G ∩ F)
