Answer
max| a + b | = 11
min| a + b | = 1
Work Step by Step
|a-6| $\leq$ 2
a-6 $\leq$ 2 , a-6 $\geq$ -2
a $\leq$ 8 , a $\geq$ 4
4 $\leq$ a $\leq$ 8
|b| $\leq$ 3
b $\leq$ 3 , b $\geq$ -3
-3 $\leq$ b $\leq$ 3
max| a + b | = max(a) + max(b) = 8 + 3 = 11
min| a + b | = min(a) + min(b) = 4 + (-3) = 1
