PLEASE HELP ME Which of the following statements is not supported by the Venn diagram below?

There are 55 students taking biology and geometry.
There are 39 students who are not taking both geometry and biology.
There are more students in biology than students in geometry.
There are more students in geometry than students taking only biology.

The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.

In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.

Solution:

If we consider the first statement i.e, there are 55 students taking biology and geometry then through the venn diagram we get:

17₊ 22 ₊8 = 47

The result of the addition operation is not equal to the number of students, hence it does not support to the statement.

If we consider the second statement i.e, there are 39 students who are not taking both biology and geometry then through the venn diagram we get:

17 ₊ 22 = 39

The result of the addition operation is equal to the number of students, hence it supports the statement.

If we consider the third statement i.e, there are more students in biology than students in geometry then through the venn diagram we get:

17 ₊ 8 = 25 and 8 ₊ 22 = 30

where, 25 < 30

Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.

If we consider the fourth statement i.e, there are more students in geometry than students taking in biology, then through the venn diagram we get:

22 ₊ 8 = 30

30 > 17

Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.

So the following statements does not support the venn diagram given:

There are 55 students taking geometry and biology.

There are more students in biology than students in geometry.

Learn more about "Venn diagrams" here-

brainly.com/question/2099071

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