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lisabon 2012 [21]
3 years ago
13

How to find x(x-2)<0

Mathematics
2 answers:
Anna [14]3 years ago
7 0

Answer:

x<2

Step-by-step explanation:

x- 2 <0

x < 2

MakcuM [25]3 years ago
7 0

Answer:

0

Step-by-step explanation:

Hi there!

x(x-2)

Set x(x-2) equal to 0:

x(x-2)=0

Solve for <em>x </em>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!

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