# Question #c65ca

##### 1 Answer

Feb 26, 2017

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]}