How to solve this type of sum using indirect proof. For any real number x, if x^3+2x+33!=0, then x+3!=0

Jadon Melendez 2022-07-17 Answered
How to solve this type of sum using indirect proof. For any real number x , if x 3 + 2 x + 33 0 , then x + 3 0
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slapadabassyc
Answered 2022-07-18 Author has 21 answers
Proving by contrapositive: Let P be the statement x 3 + 2 x + 33 0, Q be x + 3 0. We wish to show that ¬Q⟹¬P ¬ Q ¬ P.
If ¬ Q, then x + 3 = 0 and x = 3. Hence x 3 + 2 x + 33 = ( 3 ) 3 + 2 ( 3 ) + 33 = 0, and we establish ¬ P.

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