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True or false, for any integer x, x^2, - x will always result in an even number

True or false, for any integer x, x^2, - x will always result in an even number

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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True or false, for any integer x, x^2, - x will always result in an even number
Directions: Determine if each conjecture is true or false. If false, provide a counterexample. 8. The sum of any two consecutive prime numbers is also prime. false, 5+5 10. 9. The product of two even numbers is always divisible by 4. true, 10+10 = 20:4=5 10. The difference between two negative numbers is always negative. true, 11. For any integer x, x² – x will always result in an even value. 12. For any two integers x and y, |x + y| = |x| + |y| 13. If LM = MP, then M must be the midpoint of LP. 14. All birds can fly. talse, penguins, ostriches, emu, etc can't fly. 15. The difference between consecutive perfect square numbers is always odd. 6. For any two integers a and b, (a + b)2 = a² + b2
Transcribed Image Text:Directions: Determine if each conjecture is true or false. If false, provide a counterexample. 8. The sum of any two consecutive prime numbers is also prime. false, 5+5 10. 9. The product of two even numbers is always divisible by 4. true, 10+10 = 20:4=5 10. The difference between two negative numbers is always negative. true, 11. For any integer x, x² – x will always result in an even value. 12. For any two integers x and y, |x + y| = |x| + |y| 13. If LM = MP, then M must be the midpoint of LP. 14. All birds can fly. talse, penguins, ostriches, emu, etc can't fly. 15. The difference between consecutive perfect square numbers is always odd. 6. For any two integers a and b, (a + b)2 = a² + b2
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