Question

How to find x(x-2)<0

Answer 1

Answer:

x<2

Step-by-step explanation:

x- 2 <0

x < 2

Answer 2

Answer:

$0$

Step-by-step explanation:

Hi there!

$x(x-2)$

Set x(x-2) equal to 0:

$x(x-2)=0$

Solve for x by using the zero product property:

$x(x-2)=0$

$x=0$ and $x=2$

Now, we know that for the inequality $x(x-2)$, one of the following must be true:

1) $0$

2) $x$ or $x>2$

To find out which one it is, 1) or 2), we can substitute a value into $x(x-2)$ to see if the inequality is true.

For example, 1 takes place in between 0 and 2. If 1 satisfies $x(x-2)$, then $0$ must be true. If it does not, then $x$ or $x>2$ must be true:

$1(1-2)$

This inequality is true. Thus, $0$.

I hope this helps!