Which Venn diagram represents the truth of the statement:
All smokers are drinkers and all drinkers are smokers
Which Venn diagram represents the truth of the statement:
All smokers are drinkers and all drinkers are smokers
The correct option is A
Explanation for the correct option
The condition is “ All smokers are drinkers and all drinkers are smokers"
Venn Diagram:
It is a diagram using circles that shows the relationship between two or more finite sets.
If the circles overlap, there are common elements in the sets.
If the circles do not overlap, there are no common elements in the sets.
option A: The circles overlap completely, this means that all the people are both smokers and drinkers.
Hence, the correct option is A.
Explanation for the wrong options
Option B: The circles do not overlap. This means that the smokers are not drinkers and the drinkers are not smokers.
Option C: The circles overlap partially, this means there are a few people who drink and smoke. Others either drink or smoke.
Hence, the correct option is A.
Explanation for the correct option
The condition is “ All smokers are drinkers and all drinkers are smokers"
Venn Diagram:
It is a diagram using circles that shows the relationship between two or more finite sets.
If the circles overlap, there are common elements in the sets.
If the circles do not overlap, there are no common elements in the sets.
option A: The circles overlap completely, this means that all the people are both smokers and drinkers.
Hence, the correct option is A.
Explanation for the wrong options
Option B: The circles do not overlap. This means that the smokers are not drinkers and the drinkers are not smokers.
Option C: The circles overlap partially, this means there are a few people who drink and smoke. Others either drink or smoke.
Hence, the correct option is A.
