Nesbitt’s inequality is one of the simplest inequalities in mathematics. According to the statement of the inequality, for any 3 given real numbers, they satisfy the mathematical condition, 
for all 
Illustrative Examples:
The 3 numbers satisfying Nesbitts inequality are real numbers.
For a = 1, b = 2, c = 3,
the condition of the inequality
{1 / (2 + 3)} + {2 / (1 + 3)} + {3 / (1 + 2)} >= 1.5 holds true.For a = 1.5, b = 5.6, c = 4.9,
the condition of the inequality
{1.5 / (5.6 + 4.9)} + {5.6 / (1.5 + 4.9)} + {4.9 / (1.5 + 5.6)} >= 1.5 holds true.For a = 4, b = 6, c = 7,
the condition of the inequality
{4 / (6 + 7)} + {6 / (4 + 7)} + {7 / (4 + 6)} >= 1.5 holds true.For a = 459, b = 62, c = 783,
the condition of the inequality
{459 / (62 + 783)} + {62 / (459 + 783)} + {783 / (459 + 62)} >= 1.5 holds true.For a = 9, b = 6, c = 83,
the condition of the inequality
{9 / (6 + 83)} + {6 / (9 + 83)} + {83 / (9 + 6)} >= 1.5 holds true.
C++
// C++ code to verify Nesbitt's Inequality#include <bits/stdc++.h>using namespace std;bool isValidNesbitt(double a, double b, double c){ // 3 parts of the inequality sum double A = a / (b + c); double B = b / (a + c); double C = c / (a + b); double inequality = A + B + C; return (inequality >= 1.5);}int main(){ double a = 1.0, b = 2.0, c = 3.0; if (isValidNesbitt(a, b, c)) cout << "Nesbitt's inequality satisfied." << "for real numbers " << a << ", " << b << ", " << c << "\n"; else cout << "Not satisfied"; return 0;} |
Java
// Java code to verify Nesbitt's Inequalityclass GFG { static boolean isValidNesbitt(double a, double b, double c) { // 3 parts of the inequality sum double A = a / (b + c); double B = b / (a + c); double C = c / (a + b); double inequality = A + B + C; return (inequality >= 1.5); } // Driver code public static void main(String args[]) { double a = 1.0, b = 2.0, c = 3.0; if(isValidNesbitt(a, b, c) == true) { System.out.print("Nesbitt's inequality" + " satisfied."); System.out.println("for real numbers " + a + ", " + b + ", " + c); } else System.out.println("Nesbitts inequality" + " not satisfied"); }}// This code is contributed by JaideepPyne. |
Python3
# Python3 code to verify # Nesbitt's Inequalitydef isValidNesbitt(a, b, c): # 3 parts of the # inequality sum A = a / (b + c); B = b / (a + c); C = c / (a + b); inequality = A + B + C; return (inequality >= 1.5);# Driver Codea = 1.0; b = 2.0;c = 3.0;if (isValidNesbitt(a, b, c)): print("Nesbitt's inequality satisfied." , " for real numbers ",a,", ",b,", ",c);else: print("Not satisfied");# This code is contributed by mits |
C#
// C# code to verify // Nesbitt's Inequalityusing System;class GFG{ static bool isValidNesbitt(double a, double b, double c) { // 3 parts of the // inequality sum double A = a / (b + c); double B = b / (a + c); double C = c / (a + b); double inequality = A + B + C; return (inequality >= 1.5); } // Driver code static public void Main () { double a = 1.0, b = 2.0, c = 3.0; if(isValidNesbitt(a, b, c) == true) { Console.Write("Nesbitt's inequality" + " satisfied "); Console.WriteLine("for real numbers " + a + ", " + b + ", " + c); } else Console.WriteLine("Nesbitts inequality" + " not satisfied"); }}// This code is contributed by ajit |
PHP
<?php// PHP code to verify // Nesbitt's Inequalityfunction isValidNesbitt($a, $b, $c){ // 3 parts of the // inequality sum $A = $a / ($b + $c); $B = $b / ($a + $c); $C = $c / ($a + $b); $inequality = $A + $B + $C; return ($inequality >= 1.5);} // Driver Code $a = 1.0; $b = 2.0; $c = 3.0; if (isValidNesbitt($a, $b, $c)) echo"Nesbitt's inequality satisfied.", "for real numbers ", $a, ", ", $b, ", ", $c, "\n"; else cout <<"Not satisfied";// This code is contributed by Ajit.?> |
Javascript
<script>// Javascript code to verify Nesbitt's Inequalityfunction isValidNesbitt(a, b, c){ // 3 parts of the // inequality sum let A = a / (b + c); let B = b / (a + c); let C = c / (a + b); let inequality = A + B + C; return (inequality >= 1.5);}// Driver codelet a = 1.0, b = 2.0, c = 3.0;if (isValidNesbitt(a, b, c) == true) { document.write("Nesbitt's inequality" + " satisfied."); document.write("for real numbers " + a + ", " + b + ", " + c);} else document.write("Nesbitts inequality" + " not satisfied"); // This code is contributed by decode2207</script> |
Nesbitt's inequality satisfied.for real numbers 1, 2, 3
Time complexity : O(1)
Auxiliary Space : O(1)
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