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QUESTION IMAGE

use the venn diagram below to match the following people with the point…

Question

use the venn diagram below to match the following people with the point that represents them.
yolanda is not a senior and is in the glee club.
mako is in the glee club and the band
cheryl is a senior who is in the glee club but not the band.
billy is not a senior and is in the band.

Explanation:

Yolanda

  • Step1: Analyze Yolanda's conditions

Yolanda is not a senior and is in the glee club. Looking at the Venn - diagram, the region that is in the glee club but not in the senior or band region is \(P\).

Mako

  • Step1: Analyze Mako's conditions

Mako is in the glee club and the band. The intersection of the glee club and band (excluding the senior part) is the region where \(G\) is located (assuming \(G\) is the intersection of glee club and band).

Cheryl

  • Step1: Analyze Cheryl's conditions

Cheryl is a senior who is in the glee club but not the band. The intersection of senior and glee club (excluding the band part) is the region where \(A\) is located.

Billy

  • Step1: Analyze Billy's conditions

Billy is not a senior and is in the band. The region that is in the band but not in the senior or glee club region is \(E\).

Answer:

Yolanda - \(P\), Mako - \(G\), Cheryl - \(A\), Billy - \(E\)