Answer:
|h -1.7| ≤ 0.5
Step-by-step explanation:
Consider the absolute value inequality ...
|x -a| ≤ b
This is fully equivalent to ...
-b ≤ x -a ≤ b
because the value between the absolute value bars can be either positive or negative. If we add a to this, we get ...
-b +a ≤ x b +a
__
Comparing this to your given expression, we find ...
-b +a = 1.2
b + a = 2.2
If we add these equations together, we get ...
0 +2a = 3.4
a = 1.7 . . . . . . . the midpoint of the interval [1.2, 2.2]
b = 2.2 -a = 0.5 . . . . half the width of the interval [1.2, 2.2]
So, your absolute value inequality is ...
|h -1.7| ≤ 0.5
