Proficiency #1. [Statements] Which of the following sentences are statements? Do not worry about whether they are true or false. (Choose all that are correct.) I. 82 + 152 mod 17. II. Every irrational number m can be written as , where x and y are irrational numbers. III. For every odd integer k, k³ + 37k2 – 42k +1 is prime. IV. {r € Z|r² < 50} V. If n is an even natural number and n 2 4, then there exist primes p and q such that n = p+q. VI. {ACZ|5 € A} = 0.
Proficiency #1. [Statements] Which of the following sentences are statements? Do not worry about whether they are true or false. (Choose all that are correct.) I. 82 + 152 mod 17. II. Every irrational number m can be written as , where x and y are irrational numbers. III. For every odd integer k, k³ + 37k2 – 42k +1 is prime. IV. {r € Z|r² < 50} V. If n is an even natural number and n 2 4, then there exist primes p and q such that n = p+q. VI. {ACZ|5 € A} = 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Proficiency Redos
Proficiency #1. [Statements] Which of the following sentences are statements? Do not
worry about whether they are true or false. (Choose all that are correct.)
I. 82 + 152 mod 17.
II. Every irrational number m can be written as , where x and y are irrational numbers.
III. For every odd integer k, k³ + 37k2 – 42k +1 is prime.
IV. {x € Z | x² < 50}
V. If n is an even natural number and n 2 4, then there exist primes p and q such that
n = p+q.
VI. {ACZ|5 E A} = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79fec644-cc9a-4e79-932f-9a07bdd10b3d%2F350da035-1c2c-4002-a692-65d3fe00ac8f%2Ff3uw9m7_processed.png&w=3840&q=75)
Transcribed Image Text:Proficiency Redos
Proficiency #1. [Statements] Which of the following sentences are statements? Do not
worry about whether they are true or false. (Choose all that are correct.)
I. 82 + 152 mod 17.
II. Every irrational number m can be written as , where x and y are irrational numbers.
III. For every odd integer k, k³ + 37k2 – 42k +1 is prime.
IV. {x € Z | x² < 50}
V. If n is an even natural number and n 2 4, then there exist primes p and q such that
n = p+q.
VI. {ACZ|5 E A} = 0.
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