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1. For all numbers (y), y • 2. If x is a whole number, then Vx is also a whole number. 3. All numbers that end in 1 are prime numbers.

1. For all numbers (y), y • 2. If x is a whole number, then Vx is also a whole number. 3. All numbers that end in 1 are prime numbers.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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B. Prove or disprove the following statements using counterexample. 1 1. For all numbers (y), y < y 2. If x is a whole number, then x² is also a whole number. 3. All numbers that end in 1 are prime numbers. 4. For any angle, there exists a complementary angle. 5. All equations have integer solutions. 6. The sum of any two whole numbers is divisible by 2. 7. Every whole number greater than five is the sum of either two or three consecutive whole numbers. 8. Every whole number between 25 and 50 is the product of two whole numbers greater than 1. 9. If the product of two natural numbers is an even natural number, then the two natural numbers are even natural numbers. 10. The sum of five consecutive prime numbers is even.
Transcribed Image Text:B. Prove or disprove the following statements using counterexample. 1 1. For all numbers (y), y < y 2. If x is a whole number, then x² is also a whole number. 3. All numbers that end in 1 are prime numbers. 4. For any angle, there exists a complementary angle. 5. All equations have integer solutions. 6. The sum of any two whole numbers is divisible by 2. 7. Every whole number greater than five is the sum of either two or three consecutive whole numbers. 8. Every whole number between 25 and 50 is the product of two whole numbers greater than 1. 9. If the product of two natural numbers is an even natural number, then the two natural numbers are even natural numbers. 10. The sum of five consecutive prime numbers is even.
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