Question

How many numbers in the set $(8,5,0,10,20\}$ satisfy the condition $|x-5|<11$?

• A. none
• B. one
• C. two
• D. three
• E. four

Answer 1

The correct option is E four

$|x-5|<11$

Given set is $\{8,5,0,10,20\}$

$x-5$ values are $3,0,-5,5,15$.

$|x-5|$ values are $3,0,5,15$.

The values satisfying $|x-5|<11$ are $3,0,5$.

The numbers are $8,5,0,10$. So there are $4$ numbers.