B. Prove or disprove the following statements using counterexample.11. For all numbers (y), y <y2. 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 threeconsecutive whole numbers.8. Every whole number between 25 and 50 is the product of two wholenumbers greater than 1.9. If the product of two natural numbers is an even natural number, thenthe two natural numbers are even natural numbers.10. The sum of five consecutive prime numbers is even.

Since you have asked multiple subparts, as per our guidelines we are supposed to answer only three…

Answered: 1. For all numbers (y), y • 2. If x is…

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)

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,...

See similar textbooks

Similar questions

2. Find two numbers in the rational number system that can be found between the values and - Provide 18 your answer in Rational Number form ÷b 0.
Without calculating it, which of the following is the number of ways that the digits { 1, 2, 3, 4, 5, 6, 7} can be listed so that none of the digits is in it's correct position. O 1. D7 O 2. D10 O 3. 7! O 4. (7) O 5. P(7,7)
None
13. If an+1 = 3an + 1 and ao = 3, then as 900 827 850 O 746
6. Each of the numbers are factors of a number. What is the number? а. 1, 2, 3, 6, 9: b. 1, 2, 3, 5, 6, 15: с. 1, 2, 3, 6, 7, 21: d. 1, 2, 3, 6, 9,27:
For all numbers that are multiple of 6 and less than or equal to 100, what fraction of them are also divisible by 8?
5. (Show your work in detail) a). For the number (522, 024), without converting it to a number of another base. Find the highest power of 2 that divides the integer. b. Determine whether the number is divided by 5, by 7.
1. List 4 numbers between -1 and 1 2. List 3 integers between -10 and 10 3. List all the rational numbers between 5 and 10. Is this an casy task to complete? Give reasons for your answer. 4. List all the real numbers between O and 20. Is this an easy task to complete? Give reasons for your answer. 5. How many integers are there between O and 20? 6. How many rational numbers are there between O and 20? 7. How many whole numbers are there between O and 20? B. Explain how the density property applies to a number system. 9. List two number systems that have the density property and two that do not. 10. State the limit of each sequence 20.3, 0.33, 0.333, 0.3333, . b. 12, 23, 34, 45, 56, 67, . c. 9.4, 9.04, 9.004, 9.0004, 9.00004, . d. 51, 54, 59, 516, 525, 549, -