(a) Prove that the following statement is true for all integers n: If n is even then n³ + n + 3 is odd. (b) Use proof by contradiction to show that there is no positive real number x such that Ꮖ - 2 3x Ꮖ x+2

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(a) Prove that the following statement is true for all integers n:
If n is even then n³ + n + 3 is odd.
(b) Use proof by contradiction to show that there is no positive real
number x such that
Ꮖ - 2
3x
Ꮖ
x+2
Transcribed Image Text:(a) Prove that the following statement is true for all integers n: If n is even then n³ + n + 3 is odd. (b) Use proof by contradiction to show that there is no positive real number x such that Ꮖ - 2 3x Ꮖ x+2
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