Question

Question #c65ca

Answer 1

see explanation.

Explanation:

`x^2-5x<0`

Factorising gives.

`x(x-5)<0`

For the left side to be less than zero, that is `color(blue)"negative"`

`"then "x<0color(red)" and "x-5>0`

`rArrx<0color(red)" and "x>5larr " impossible"`

`color(magenta)" OR"`

`x>0color(red)" and "x-5<0`

`rArrx>0color(red)" and "x<5`

`rArr 0 < x < 5 " is the solution"`
graph{x^2-5x [-10, 10, -5, 5]}