Answer:
OPTION A
Step-by-step explanation:
We have: [tex]$ |x - a| < b \implies - b < x - a < b $[/tex]
Adding 'a' to the components:
- b + a < x < b + a
This is the result.
Here, we have: |y - 2| < 10
⇒ -10 < y - 2 < 10
Adding 2, we get:
- 10 + 2 < y < 10 + 2
⇒ - 8 < y < 12
That is, 'y' can take any value between -8 and 12.
In set notation: {y : - 8 < y < 12} : OPTION A is the answer.
