Home
Class 8
MATHS
If x, y and z are three non-zero numbers...

If `x, y and z` are three non-zero numbers such that `x + y le z -x, y + z le x -y and z + x le y -z`, the maximum value of `x + y + z ` is __________.

Text Solution

Verified by Experts

The correct Answer is:
A
(i) Add the three given inequaionss.
(ii) Check for the maximum value of `x +y +z`.
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS AND INEQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise EXAMPLES|31 Videos

  • LINEAR EQUATIONS AND INEQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise TEST YOUR CONCEPTS (Very Short Answer Type Questions)|30 Videos

  • LINEAR EQUATIONS AND INEQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 2|17 Videos

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 3)|7 Videos

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application Level -2|15 Videos

Similar Questions

Explore conceptually related problems

If 0 le x le 4, 0 le y le 8, x+y le 8 , then maximum of z=5x+3y is

If Z=2x + y subject to x le 4, y le 6, x+y ge 6, x ge 0, y ge 0 , then the maximum value of Z is

The number of three digit numbers of the form xyz such that x lt y , z le y and x ne0 , is

If x+y+z=3 and x,y,z in R , the maximum value of ((x+y)(y+z)(z+x))/(8) is:

Let x, y, z be non-zero real numbers such that x/y + y/z + z/x = 7 and y/x + z/y + x/z = 9 , then (x^3)/y^3 + y^3/z^3 + z^3/x^3 - 3 is equal to