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Proof by contrapositive - Revision Quiz 1

Question 1 of 5

Use a contrapositive proof to prove that if \(n\) be an integer and \(n\) is even then \(n^3+5\) is odd.

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Proof by contrapositive - Revision Quiz 1

Question 2 of 5

Use a contraposition proof to prove that if \(\sqrt{x}\) is irrational then \(x\) is irrational.

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Proof by contrapositive - Revision Quiz 1

Question 3 of 5

Use a contrapositive proof to prove that:

Given that \(n\) is an integer, if \(3n+2\) is even, then \(n\) is even.

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Proof by contrapositive - Revision Quiz 1

Question 4 of 5

Use a contrapositive proof to prove that if \(x\) is irrational then \(\dfrac{1}{x}\) is irrational.

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Proof by contrapositive - Revision Quiz 1

Question 5 of 5

Use a contrapositive proof to prove that if \(5n+3\) is odd then \(n\) is even.

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QLD Y11 General QLD Y11 Methods (Unit 1 & 2) QLD Y11 Specialist (Unit 1 & 2)

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Algebra Number Systems and Sets Trigonometric Ratios and Applications Further Algebra Vectors in the Plane Principles of counting Number and Proof Geometry in the plane and proof Circle Geometry Graphing techniques Trigonometric functions Trigonometric identities Complex numbers Matrices Transformations of the plane Further graphing techniques

Proof by contrapositive - Questions

Q 1 More Questions

Question 1

Use a contrapositive proof to prove that if \(n\) be an integer and \(n\) is even then \(n^3+5\) is odd.

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Worked Solution Click to reveal

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Proof by contrapositive - Revision Quiz 1

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Proof by contrapositive - Revision Quiz 1

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Proof by contrapositive - Revision Quiz 1

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Proof by contrapositive - Revision Quiz 1

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Proof by contrapositive - Revision Quiz 1

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