Question

1. which of the following statements is not supported by the venn diagram below?

there are more students in geometry than students taking only biology.
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.

Explanation:

Step1: Calculate the number of students in geometry

The number of students in geometry is \(17 + 8=25\).

Step2: Calculate the number of students in biology

The number of students in biology is \(22 + 8 = 30\).

Step3: Calculate the number of students taking only biology

The number of students taking only biology is \(22\).

Step4: Calculate the number of students taking both

The number of students taking both is \(8\).

Step5: Calculate the number of students not taking both

The number of students not taking both is \(17+22 = 39\).

Answer:

The statement "There are 55 students taking biology and geometry" is not supported.