4. Prove: If x {0, 1} then x² - -x=0. 5. 6. Prove by contrapositive: Suppose x is a real number. If x>0 then x + 16 0. Prove by contradiction: Suppose n is an integer. Then n² - n+10. Hint: You might try organizing the proof by cases on whether n is even or odd. Is n² - n+1 even or odd?

4. Prove: If x {0, 1} then x² - -x=0. 5. 6. Prove by contrapositive: Suppose x is a real number. If x>0 then x + 16 0. Prove by contradiction: Suppose n is an integer. Then n² - n+10. Hint: You might try organizing the proof by cases on whether n is even or odd. Is n² - n+1 even or odd?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.1: Real Numbers

Problem 26E

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Question

4.
Prove: If x {0, 1} then x² -
-x=0.
5.
6.
Prove by contrapositive: Suppose x is a real number. If x>0 then x + 16 0.
Prove by contradiction: Suppose n is an integer. Then n² - n+10.
Hint: You might try organizing the proof by cases on whether n is even or odd. Is n² - n+1 even or odd?

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