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Aneli [31]
3 years ago
14

Let T be the statement: The sum of any two rational numbers is rational. Then T is true, but the following "proof is incorrect.

Find the mistake. "Proof by contradiction: Suppose not. That is, suppose that the sum of any two rational numbers is not rational. This means that no matter what two rational numbers are chosen their sum is not rational. Now both 1 and 3 are 1/1 and 3 3/1, and so both are ratios of integers with rational because 1 a nonzero denominator. Hence, by a supposition, the sum of 1 and 3, which is 4, is not rational. But 4 is rational because 4 4/1 , which is a ratio of integers with a nonzero denominator. Hence 4 is both rational and not rational, which is a contradiction. This contradiction shows that the supposition is false and hence statement T is true.
Computers and Technology
1 answer:
ikadub [295]3 years ago
4 0

Answer:

the mistake is in the first statement.

Explanation:

Now lets us put the statement into consideration:

"The sum of any two rational numbers is irrational"

The negation is: " there exists a pair of rational numbers whose sum is irrational". (Existence of at least one of such a pair).

The negation is not "the sum of any two rational numbers is irrational"

Therefore the mistake is in the first statement and it is due to incorrect negation of the proof.

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User roles and access authorization

(Explanation of this question is given below in the explanation section.

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As noted in question that a terminated employee comeback in office and installed some malicious script on a computer that was scheduled to run a logic bomb on the first day of the following month. And, that script will change administrator passwords, delete files, and shut down over 100 servers in the data center.

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4 years ago
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Write an expression that will cause the following code to print "Equal" if the value of sensorReading is "close enough" to targe
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Answer:

The C++ code is given below with appropriate comments

Explanation:

//Remove this header file if not using visual studio.

#include "stdafx.h"

//Include the required header files.

#include <iostream>

//Use for maths function.

#include <cmath>

using namespace std;

//Define main function

int main()

{

      // Define the variables

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      if (fabs(sensorReading - targetValue) < 1E-4)

      {

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             cout << "Equal" << endl;

      }

      else

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      system("pause");

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      return 0;

}

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