The shaded area of figure is best described by?a.A‘ (Complement of A)b.A ∩ Bc.Bd.A U B -B

To determine the best description of the shaded area in the figure based on the options provided, we need to understand the terminology used in set theory:

1. A' (Complement of A): This represents all elements that are not in set A.
2. A ∩ B: This represents all elements that are in both set A and set B (the intersection).
3. Bc: This represents all elements that are not in set B.
4. A ∪ B - B: This represents all elements that are in either set A or set B, but excludes all elements that are in set B.

Step-by-Step Analysis

1. Understanding the Geometry: Typically, visual figures in set theory problems involve overlapping circles (like Venn diagrams). The shaded area could be part of A, part of B, or the area where they overlap, or some combination.

2. Determine What the Shaded Area Represents:

   • If the shaded area includes elements from both sets but excludes set B, it aligns with option d (A ∪ B - B).
   • If the shaded area only includes elements outside of A, that would be A'.
   • If it shows a section that overlaps between A and B, then it would be A ∩ B.
   • If it shows elements that are not in B, then it fits Bc.

Conclusion

Without the visual aid, the best option can vary based on the positioning of A and B. However, if the shaded area consists of elements from A but excludes elements common to both, the most likely option is d. A ∪ B - B.

Final Answer

The shaded area is best described by d. A ∪ B - B.