1. Complete the following for sets A equal to the natural numbers (use the traditional definition from your notes) and B equal to the numbers defined by the pattern 2n. o Write out the first 5 numbers in each set A and B. o Which set is larger? Justify your answer in complete sentences.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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1. Complete the following for sets A equal to the natural numbers (use the
traditional definition from your notes) and B equal to the numbers defined by
the pattern 2n.
o Write out the first 5 numbers in each set A and B.
o Which set is larger? Justify your answer in complete sentences.
2. Compare the following expressions using exponent laws or by expanding and
simplifying. After comparing, are these expressions the same? Explain in words
how you know.
Expression 1:
Expression 2: (a³) 4 (a−5)
a6a³
a²
3. Suppose that in the produce section of a grocery store, there are two
hypothetical rates for fruit. One version gives a price for each piece of fruit and
the other gives a price per pound.
o As a consumer, which rate would you rather use? Justify your answer in
complete sentences.
o As a store manager, which rate would you rather use? Justify your
answer in complete sentences.
o If you needed 1.5 kg of tomatoes for a sauce recipe and
Os Wore
Transcribed Image Text:uestions 1. Complete the following for sets A equal to the natural numbers (use the traditional definition from your notes) and B equal to the numbers defined by the pattern 2n. o Write out the first 5 numbers in each set A and B. o Which set is larger? Justify your answer in complete sentences. 2. Compare the following expressions using exponent laws or by expanding and simplifying. After comparing, are these expressions the same? Explain in words how you know. Expression 1: Expression 2: (a³) 4 (a−5) a6a³ a² 3. Suppose that in the produce section of a grocery store, there are two hypothetical rates for fruit. One version gives a price for each piece of fruit and the other gives a price per pound. o As a consumer, which rate would you rather use? Justify your answer in complete sentences. o As a store manager, which rate would you rather use? Justify your answer in complete sentences. o If you needed 1.5 kg of tomatoes for a sauce recipe and Os Wore
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