In a school zone, 29 teacher positions need to be hired for the following areas: 13 of mathematics, 13 of physics and 15 of systems. By covering the positions require 6 teachers to teach mathematics and physics, 4 to teach physics and systems and 5 mathematics and systems. Using a Venn diagram determine: a) How many do you need to teach the 3 areas? b) How many do you need to teach mathematics only? c) How many do you need to teach mathematics and systems, but not physics?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 36E
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In a school zone, 29 teacher positions need to be hired for the following areas: 13 of mathematics, 13 of physics and 15 of systems. By covering the positions require 6 teachers to teach mathematics and physics, 4 to teach physics and systems and 5 mathematics and systems. Using a Venn diagram determine:
a) How many do you need to teach the 3 areas?
b) How many do you need to teach mathematics only?
c) How many do you need to teach mathematics and systems, but not physics?
 
 
 
 
 
 
 
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