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2. which of the following statements is not supported by the venn diagr…

Question

  1. which of the following statements is not supported by the venn diagram below? there are more students on the gymnastics team than on the dance team. there are 17 people on the gymnastics team. there are 2 less people on the dance team than the gymnastics team. there are 13 students on the dance team.

Explanation:

Step1: Calculate the number of students in each team

  • Dance team: \(13 + 2=15\)
  • Gymnastics team: \(15 + 2 = 17\)

Step2: Analyze each option

  • Option 1: Gymnastics team (\(17\)) > Dance team (\(15\)), supported.
  • Option 2: Gymnastics team \(17\), supported.
  • Option 3: Dance team (\(15\)) is \(17-15 = 2\) less than Gymnastics team (\(17\)), supported.
  • Option 4: Dance team has \(15\) (not \(13\)), not supported.

Answer:

There are 13 students on the dance team.