Question

Draw Venn diagram $A\cup \left( B\cap C \right)$.

Answer 1

We are given an expression and we have to draw the Venn diagram for the same. There are two concepts involved in the given expression, one is union which is represented by $\cup$ and the other is intersection, which is represented by $\cap$. Based on the given expression, we will draw a Venn diagram which is just an illustration that uses a circle to describe the relationship between different things or groups. A union generally refers to the combination of two different sets. An intersection refers to the region which has similarities and is shown by the overlap of the circles.

Complete step-by-step answer:
According to the given question, we are given an expression which we have to represent using a Venn diagram.
Venn diagram is an illustration and it used circles to describe the relationship between different things, objects or group of objects or things. There are two main concepts associated to Venn diagrams, they are union and intersection.
A union of two objects say A and B is represented by $A\cup B$ and it refers to the combination of the elements present in both the objects A and B.
An intersection of two objects say B and C is represented by $B\cap C$ and it refers to the common elements present in the objects B and C.
The Venn diagram of the given expression can be shown as,

Note: The Venn diagram should be very carefully made. The relationship described using circles are very accurate and precise and if the logic of expression if wrongly interpreted will result in the wrong Venn diagram. Also, the union and the intersection should not be confused else the Venn diagram will be something like,

And this is wrong.