
Draw a Venn-diagram to show the relationship between two overlapping sets A and B. Now shade the region representing $A \cap B$.
Answer
541.2k+ views
Hint: The given representation denotes intersection of the sets.
First, we are going to consider two circles which are important part of the Venn-diagram, and then we have been said that the two sets which means the two circles are overlapping to each other so, we are going to over the two circles, and when the two circles overlap, a common region between the two circle is formed, which is the required region which has to be shaded.
Complete step-by-step answer:
We are given that there are two sets A and B which are overlapping.
So, first we are going to consider two circles A and B which are two sets A and B.
Since, we are told that they both are overlapping sets, so we are going to overlap these two circles.
Then, we are going to get
According to the question we have been asked to shade out the region which represents $A \cap B$.
This given representation, in simple words means A intersection B, which means the common part which both A and B share has to be found and shaded according to the question.
So, after shading we get
The above shaded region shows the required representation given in the question.
Note: The representation given in the question asks for the common part of the two overlapping sets and not the non-common area of the two sets as the symbol in the representations stands for intersection.
First, we are going to consider two circles which are important part of the Venn-diagram, and then we have been said that the two sets which means the two circles are overlapping to each other so, we are going to over the two circles, and when the two circles overlap, a common region between the two circle is formed, which is the required region which has to be shaded.
Complete step-by-step answer:
We are given that there are two sets A and B which are overlapping.
So, first we are going to consider two circles A and B which are two sets A and B.
Since, we are told that they both are overlapping sets, so we are going to overlap these two circles.
Then, we are going to get
According to the question we have been asked to shade out the region which represents $A \cap B$.
This given representation, in simple words means A intersection B, which means the common part which both A and B share has to be found and shaded according to the question.
So, after shading we get
The above shaded region shows the required representation given in the question.
Note: The representation given in the question asks for the common part of the two overlapping sets and not the non-common area of the two sets as the symbol in the representations stands for intersection.
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