Question

Solve each of the following system of equations in `Rdot` `(|x-1|-1)/(|x-2|-2)lt=0.`

Answer 1

`(|x-1|-1)/(|x-2|-2)<=0`<br> `x<1`<br> `(1-x-1)/(2-x-2)<=0`<br> `1<=0`<br> `x in phi`
`x in[1,2]`
`(x-1-1)/(2-x-2)<=0`<br> `(x-2)/(-x)<=0`<br> `(x-2)/x>=0`
`x in(-oo,0)uu[2,oo)`
`x in phi`
`x>=2`
`(x-1-1)/(x-2-2)<=0`<br> `(x-2)/(x-4)<=0`<br> `x in[2,4)`.