Answer
a. yes
b.yes
Work Step by Step
$A = \{x|x ∈ N$ and $100 \leq x \leq 105\}$
$B = \{x|x ∈ N$ and $99 \lt x \lt 106\}$
Expressed using the roster method:
$A = \{100, 101, 102, 103, 104, 105\}$
$B = \{100, 101, 102, 103, 104, 105\}$
a. Those sets are equivalent as they have the same number of elements.
b. Those sets are equal, as their elements are exactly the same.