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