Question

Use set notation to describe the shaded region. You may use any of the following symbols: $A,B, \cap , \cup $and keep in mind that the shaded region has more than one set description.
A.$A \cap B'$
B.$B \cup A'$
C.$A \cap B$
D.$A \cup B$

Answer 1

Hint: Here we are given set A and B represented by the Venn diagram which signifies the mathematical or logical sets as circles and also common elements of the sets which represent the intersection of the circles. Follow the diagram structure to get the term which symbolizes the shaded region.

Complete step by step solution:
Set can be expressed as the collection of well-defined and distinct objects and considered as an object in its own right. It is described as the group of the things that belong together. Sets are symbolized by capital alphabets such as A, B ,... and so on.
Here, we have to find out the shaded part so exclude the complete B set which suggests that set A which is not present B.
The above can be expressed by the $A \cap B'$
From the given multiple choices, the option A is the correct answer.
So, the correct answer is “Option A”.

Note: Always be careful while observing the intersection of two sets or more sets and the respective description of the sets. Also, read the question twice for the required condition to be followed and understand first then start solving it. Intersection simply is the common part of the two sets while union is the part or whole in one or both the sets.