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Mikela claims that the sum of any two numbers is greater than the larger of the two numbers. Jim claims that the sum of any two natural numbers is greater than the larger of the two numbers. 

Determine whose claim is correct, and explain why.

Determine whose claim is incorrect, and give a counterexample. (A counterexample is an example that would disprove the claim.)

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 Mar 3, 2021
 #1
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This may be helpful.

 

Note: Please put on-topic titles to make it easier for others to find.

 Mar 3, 2021
edited by cryptoaops  Mar 3, 2021
 #2
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Note :   a "natural" number usually means  a "counring" number  ⇒ 1,2,3,4, ..... etc.

 

Jim is correct

 

Mikela is  not...  (-2 + -3 =  -5  which is not greater than  - 2  )

 

 

cool cool cool

 Mar 3, 2021

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