Please send the complete solution showing all the steps.

Asked by sudhanshubhushanroy | 20th Nov, 2017, 08:26: AM

Expert Answer:

begin mathsize 16px style straight x greater than 0 comma space straight y greater than 0 space and space straight z greater than 0
1 over straight x less than 0 comma space 1 over straight y less than 0 space and space 1 over straight z less than 0
using space straight x plus straight y plus straight z equals 3
rightwards double arrow 1 over straight x plus 1 over straight y plus 1 over straight z greater or equal than 3
For space example space if space straight x equals 1 comma space straight y equals 0.5 comma space straight z equals 1.5
straight x plus straight y plus straight z equals 3
We space can space see space clearly space that space 1 over straight x plus 1 over straight y space greater or equal than 1 comma space 1 over straight y plus 1 over straight z space greater or equal than 1 space also space 1 over straight z plus 1 over straight x space greater or equal than 1
rightwards double arrow 1 over straight x plus 1 over straight y plus 1 over straight z equals 1 plus fraction numerator 1 over denominator 0.5 end fraction plus fraction numerator 1 over denominator 1.5 end fraction greater or equal than 3 end style

Answered by Sneha shidid | 20th Nov, 2017, 10:50: AM