A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
12th Edition
ISBN: 9780321987297
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
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Textbook Question
Chapter 2.3A, Problem 23A
The table below contains the 10 most popular candy bars in United States in 2013 with the primary ingredients listed.
| Favorite Candies | Chocolate (C) |
Nuts/Peanut Butter (N) |
Caramel (R) |
| Snickers | Yes | Yes | Yes |
| Toblerone | Yes | No | No |
| Cadbury Chocolate Bars | Yes | No | No |
| Hershey | Yes | No | No |
| Butterfinger | Yes | Yes | No |
| Baby Ruth | Yes | Yes | Yes |
| Mars Bar | Yes | No | Yes |
| Milky Way | Yes | No | Yes |
| 3 Musketeers | Yes | No | No |
| Kitkat | Yes | No | No |
a. Draw a Venn diagram sorting the brands according to the three listed ingredients with the universal set (U) being the set of candy bars.
b. How many candy bars are in each of the following sets? What bars are in each set?
i.
ii.
iii. Of the bars listed, what is the most popular of the listed ingredients? The most unpopular?
iv. If you were a manufacturer of candy bars and using only this list, write an argument for which ingredients your new candy bar would contain.
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Chapter 2 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Ch. 2.1 - Explain why commands and questions are not...Ch. 2.1 - Explain how to write the negation of a quantified...Ch. 2.1 - a. Describe under what conditions a disjunction is...Ch. 2.1 - Consider the nursery rhyme. For want of a nail,...Ch. 2.1 - In an email address line, a coma or a semicolon is...Ch. 2.1 - If a statement and its converse are both true,...Ch. 2.1 - Table 5 shows a situation used to motivate the...Ch. 2.1 - A student in a logic class suggested that one...Ch. 2.1 - Discuss the paradox arising from the following set...Ch. 2.1 - Prob. 10MC
Ch. 2.1 - Write an explanation for a seventh grader showing...Ch. 2.1 - Prob. 12MCCh. 2.1A - Determine which of the following are statements...Ch. 2.1A - Use quantifiers to make each of the following...Ch. 2.1A - Use quantifiers to make each of equation in...Ch. 2.1A - Write the negation of each of the following...Ch. 2.1A - Identify the following as true or false. a. For...Ch. 2.1A - Prob. 6ACh. 2.1A - a. Complete the following truth table, p q pq p pq...Ch. 2.1A - If q stands for This course is easy and r stands...Ch. 2.1A - Prob. 9ACh. 2.1A - Write the negation of each statement in exercise...Ch. 2.1A - For each of the following, is the pair of...Ch. 2.1A - Describe Dr. No as completely as possible.Ch. 2.1A - Write each of the following in symbolic form if p...Ch. 2.1A - For each of the following implications, write the...Ch. 2.1A - Prob. 15ACh. 2.1A - Write a statement logically equivalent to the...Ch. 2.1A - Investigate the validity of each of the following...Ch. 2.1A - Use the truth table below to prove the chain rule...Ch. 2.1A - Prob. 19ACh. 2.1A - For each of the following, form a conclusion that...Ch. 2.1A - Write the following in if-then form. a. Every...Ch. 2.1A - Use De Morgans Laws to write a negation of each of...Ch. 2.1B - Determine which of the following are statements...Ch. 2.1B - Use the quantifiers to make each of the following...Ch. 2.1B - Use the quantifiers to make each equation in...Ch. 2.1B - Write the negation of each of the following...Ch. 2.1B - Identity the following as true or false. a. For...Ch. 2.1B - a. If you know that p is true, what can you...Ch. 2.1B - If q stands for You said goodbye and r stands for...Ch. 2.1B - Decide on the truth value of each of the following...Ch. 2.1B - Write the negation of each statement in exercise...Ch. 2.1B - For each of the following, is the pair of...Ch. 2.1B - Use the Euler diagram to describe Ms. Makeover as...Ch. 2.1B - Write each of the following in symbolic form if p...Ch. 2.1B - For each of the following implications, state the...Ch. 2.1B - Iris makes the true statement If it rains, then I...Ch. 2.1B - Investigate the validity of each of the following...Ch. 2.1B - For each of the following, form a conclusion that...Ch. 2.1B - Write each of the following in if-then form. a....Ch. 2.1B - Use De Morgans laws to write a negation of each of...Ch. 2.1B - Use the chain rule to form a logical conclusion...Ch. 2.2 - Prob. 1MCCh. 2.2 - Prob. 2MCCh. 2.2 - Prob. 3MCCh. 2.2 - Explain why {} has as an element and also as a...Ch. 2.2 - Prob. 5MCCh. 2.2 - Explain why the word finite was used in the...Ch. 2.2 - Define less than or equal to in a way similar to...Ch. 2.2 - Prob. 8MCCh. 2.2 - Draw a Venn diagram depicting A. Shade A. What is...Ch. 2.2 - A set has elements in an arithmetic sequence...Ch. 2.2 - A set of 100 people on a tour include only men and...Ch. 2.2 - Prob. 12MCCh. 2.2 - A student asks if A is a subset of B and B is a...Ch. 2.2 - A student states that given any two sets A and B,...Ch. 2.2 - Prob. 15MCCh. 2.2 - Review Problems If p is false and q is true, find...Ch. 2.2 - Prob. 17MCCh. 2.2 - Review Problems Complete the following truth...Ch. 2.2 - Prob. 1NAEPCh. 2.2A - Write the following sets using the listing roster...Ch. 2.2A - Rewrite the following using mathematical symbols,...Ch. 2.2A - Which of the following pairs of sets can be placed...Ch. 2.2A - Prob. 4ACh. 2.2A - Prob. 5ACh. 2.2A - Which of the following represent equal sets?...Ch. 2.2A - Find the cardinal number of the each of the...Ch. 2.2A - If U is the set of all college students and A is...Ch. 2.2A - Suppose B is a proper subset of C. a. If n(C)=8,...Ch. 2.2A - Prob. 10ACh. 2.2A - Prob. 11ACh. 2.2A - Prob. 12ACh. 2.2A - Identify all the possible proper subset...Ch. 2.2A - Indicate which symbol, or , makes each of the...Ch. 2.2A - Indicate which symbol, or _, makes each of the...Ch. 2.2A - Assessment Answer each of the following. If your...Ch. 2.2A - Use the definition of less than to show each of...Ch. 2.2A - On a certain senate committee there are seven...Ch. 2.2A - Name two infinite sets that are equivalent but not...Ch. 2.2A - Write an argument to show that the set of even...Ch. 2.2A - Draw a Venn diagram showing the relationship...Ch. 2.2A - Prob. 22ACh. 2.2A - If the set of officers of the Adamsville Beta Club...Ch. 2.2B - Prob. 1ACh. 2.2B - Prob. 2ACh. 2.2B - Which of the following pairs of sets can be placed...Ch. 2.2B - How many one-to-one correspondences exist between...Ch. 2.2B - Prob. 5ACh. 2.2B - Prob. 6ACh. 2.2B - Prob. 7ACh. 2.2B - Prob. 8ACh. 2.2B - Suppose AB. a. 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