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3. A school requires all students to take an elective in Business, Art, and/or Music. The diagram below shows the distribution of students in the electives. Student Enrollment in Electives 65 64 Business 28 Art 22 14 16 Music 75 Four claims listed below are made about the distribution of students in the electives. For each claim, determine whether it is true or false. Justify your decision with mathematical reasoning. 1. More students signed up for Music electives than for Business electives. 2. 3. 4. More students are enrolled in two or more electives than are enrolled in only one elective. More students are not enrolled in Music electives than are not enrolled in Art electives. More students are in Art electives but not Business than are in Music but not Business.

3. A school requires all students to take an elective in Business, Art, and/or Music. The diagram below shows the distribution of students in the electives. Student Enrollment in Electives 65 64 Business 28 Art 22 14 16 Music 75 Four claims listed below are made about the distribution of students in the electives. For each claim, determine whether it is true or false. Justify your decision with mathematical reasoning. 1. More students signed up for Music electives than for Business electives. 2. 3. 4. More students are enrolled in two or more electives than are enrolled in only one elective. More students are not enrolled in Music electives than are not enrolled in Art electives. More students are in Art electives but not Business than are in Music but not Business.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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3. A school requires all students to take an elective in Business, Art, and/or Music. The diagram below shows the distribution of students in the electives. Student Enrollment in Electives 65 64 Business 28 Art 22 14 16 Music 75 Four claims listed below are made about the distribution of students in the electives. For each claim, determine whether it is true or false. Justify your decision with mathematical reasoning. 1. More students signed up for Music electives than for Business electives. 2. 3. 4. More students are enrolled in two or more electives than are enrolled in only one elective. More students are not enrolled in Music electives than are not enrolled in Art electives. More students are in Art electives but not Business than are in Music but not Business.
Transcribed Image Text:3. A school requires all students to take an elective in Business, Art, and/or Music. The diagram below shows the distribution of students in the electives. Student Enrollment in Electives 65 64 Business 28 Art 22 14 16 Music 75 Four claims listed below are made about the distribution of students in the electives. For each claim, determine whether it is true or false. Justify your decision with mathematical reasoning. 1. More students signed up for Music electives than for Business electives. 2. 3. 4. More students are enrolled in two or more electives than are enrolled in only one elective. More students are not enrolled in Music electives than are not enrolled in Art electives. More students are in Art electives but not Business than are in Music but not Business.
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