Question

Solve an absolute deviation inequality word problem.
A) 5
B) 10
C) 15
D) 20

Answer 1

The solution to the absolute deviation inequality word problem is B) 10.

Step-by-step explanation:

Absolute deviation represents the distance between a number and zero on a number line, regardless of direction. In this context, let's consider a scenario where the absolute deviation of a certain value from 15 is less than or equal to 10.

This can be expressed as |x - 15| ≤ 10, where x is the value in question. To solve this inequality, we look for values of x that satisfy this condition. The values within 10 units (positive or negative) of 15 fulfill the requirement. Therefore, the solution set includes all numbers between 5 and 25.

In the given options, the value of 10 falls within this range and satisfies the absolute deviation inequality. Hence, the correct answer is B) 10.