Prove that the following two statements are not logically equivalent. In your proof, completely justify your...

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Prove that the following two statements are not logicallyequivalent. In your proof, completely justify your answer.

(a) A real number is less than 1 only if its reciprocal isgreater than 1.

(b) Having a reciprocal greater than 1 is a sufficient conditionfor a real number to be less than 1.

Proof:

 
 
 
#2. 
Prove that the following is a valid argument:

         All real numbershave nonnegative squares.

The number i has a negative square.

     Therefore, the number i is not a real number.

Proof:

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SOLUTIONFor 2 The conclusion is    See Answer
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