Proof By Contraposition (If 5n+3 is Odd, n is Even)

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How to solve #extension2 problems involving proof by contraposition
  1. Jonathan Kim Sing
  2. maths
  3. mathematics
  4. nsw
  5. hsc
  6. year 12
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Proof By Contraposition 0:03:53

Proof By Contraposition (If 5n+3 is Odd, n is Even)

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Proof: n is Odd if and only if 3n+5 is Even

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Proof by contraposition: if 3n + 2 even, then n even

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Proof by Contrapositive: If 5x - 7 is odd, then x is even

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If 3n + 2 even, then n even. proof by contradiction

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Real Number PYQ

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Proof by Contrapositive: If n^2 is Even then n is Even

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Direct Math Proof: If n is odd then 3n + 7 is even

Direct Proof: Prove 0:03:54

Direct Proof: Prove that if 5x - 7 is odd, then 9x + 2 is even

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Proof by Contradiction: if 3n+2 is odd then n is odd

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How to Write a Proof by Contrapositive: (If n^3 - 1 is even then n is odd)

Direct Proof: For 0:05:43

Direct Proof: For all integers n, if n is odd then 3n + 5 is even

Discrete Math - 0:06:39

Discrete Math - 1.7.2 Proof by Contraposition

Proof by contraposition: 0:03:44

Proof by contraposition: if 3n + 2 even, then n even

Proof By Contrapositive 0:03:40

Proof By Contrapositive - For all integers n, if n^3+3 is odd, then n is even.

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(4.2.1) Proving Universal Statements: If n is Odd, Then 3n + 5 is Even

Direct Proof: For 0:05:57

Direct Proof: For all integers m, if m is even then 3m + 5 is odd

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Introduction to Proof by Contrapositive: If n squared is even, then n is even

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Prove by contraposition that if 3|m^2, then 3|m.