## Basic College Mathematics (10th Edition)

Published by Pearson

# Appendix: Inductive and Deductive Reasoning - Appendix Exercises - Page A-6: 20

#### Answer

6 students take neither calculus or physics. #### Work Step by Step

1. 40 Students in a class. 21 take calculus and physics, 30 take calculus, 25 take physics. 2. Subtract students who take both calculus and physics from students who take calculus and from student who take physics. a. Calculus only = 30 - 21 = 9 b. Physics only = 25 - 21 = 4 3. Add up students who only take calculus (9), students who only take physics (4), and students who take both calculus and physics (21). a. 21 + 4 + 9 = 34 4. Subtract these students from the entire class. a. 40 - 34 = 6 5. Conclude. 6 students take neither calculus nor physics. Use the above information to compile a Venn Diagram

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