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A set M of numbers is defined recursively by 1. 2 and 3 belong to M. 2. If x and y
Chapter 3, Problem 48(choose chapter or problem)
A set M of numbers is defined recursively by 1. 2 and 3 belong to M. 2. If x and y belong to M, so does x * y. Which of the following numbers belong to M? a. 6 b. 9 c. 16 d. 21 e. 26 f. 54 g. 72 h. 218
Questions & Answers
QUESTION:
A set M of numbers is defined recursively by 1. 2 and 3 belong to M. 2. If x and y belong to M, so does x * y. Which of the following numbers belong to M? a. 6 b. 9 c. 16 d. 21 e. 26 f. 54 g. 72 h. 218
ANSWER:Step 1 of 2
A set M of numbers is defined recursively by
1. 2 and 3 belong to M.
2. If x and y belong to M, so does x * y
Since , therefore,
Since , therefore, .
Since , therefore, . It follows that .
We know that
By given hypothesis, , but . Therefore, .
We know that
By given hypothesis, , but . Therefore, .