Question

The number of integral values in the solution set of the inequation $\left|x-1\right|+\left|x-2\right|+\left|x-3\right|<0$ is

Answer 1

Given:

$|x-1|+|x-2|+|x-3|<0$

We know that modulus always will give

positive value, so-

$|x-1|+|x-2|+|x-3|<0$ (all positive)

so, sum at '3' positive quantities never can be

negative. So there is no solution for

this equation. It means zero integral value

in the solution set of given equation.