Question

Sergei says that 10% of a number will always be less than 20% of any other number.

Answer 1

That statement is only true sometimes.  If you use 500 and 10, 10% of 500 is 50, while 20% of 10 is only 2.  Clearly, 50 is larger than 2.

Answer 2

Answer:

The statement is true sometimes

Step-by-step explanation:

Let

x------> a number

y-----> another number

we have that

$0.10x < 0.20y$ ----> inequality that represent the situation

Verify

For $x=100, y=200$

substitute in the inequality the values of x and y

$0.10(100) < 0.20(200)$

$10 < 40$ -----> is true

For $x=600, y=100$

substitute in the inequality the values of x and y

$0.10(600) < 0.20(100)$

$60 < 20$ -----> is not true

Therefore

The inequality is true sometimes