Drawing the Venn Diagram for A ∩ Bc

[WannaBe]

Draw the venn diagram for A∩Bc

(A Intersection B Completement)

Is my solution correct?

View attachment 1524

 

[Jameson]

Yep, looks good. (Yes)

 

[WannaBe]

Yep, looks good. (Yes)

Thank You.

A∩Bc = A-B

So, we don't shade anything in the Universe (rectangle) right? (i.e. outside of A and B)

 

[Jameson]

Thank You.

A∩Bc = A-B

So, we don't shade anything in the Universe (rectangle) right? (i.e. outside of A and B)

Correct. You're thinking in the right way considering events outside of $A$ and $B$ though. For example, $B^c$ is part of $A$ and everything outside the two circles. However, when we see what is both in $A$ and this region, $B^c$, it is in fact the region you have highlighted in red.

 

[blue_raver22]

I cannot provide a definite answer without knowing the specific values and sets for A and B. However, I can explain the general process for drawing the Venn diagram for A ∩ Bc.

First, we need to understand the meaning of A ∩ Bc. This notation represents the intersection of set A and the complement of set B, which includes all elements that are in A but not in B.

To draw the Venn diagram, we start by drawing two overlapping circles to represent sets A and B. The overlapping region will represent the elements that are common to both sets.

Next, we need to shade the complement of set B, which is the area outside of set B. This will represent all the elements that are not in set B.

Finally, we need to find the intersection of set A and the complement of set B. This will be the area where the shaded region of the complement of B overlaps with set A. This area will represent the elements that are in both set A and the complement of set B.

Therefore, the Venn diagram for A ∩ Bc will have three regions: the area inside set A, outside of set B, and the intersection of set A and the complement of set B.

Without knowing the specific values and sets for A and B, I cannot confirm if your solution is correct. However, the general process I have described should help you draw the correct Venn diagram for A ∩ Bc.