Answer
a. yes b. no
Work Step by Step
$A = \{x|x ∈ N$ and $12 \lt x \leq 17\}$
$B = \{x|x ∈ N$ and $20 \leq x \lt 25\}$
Expressed using the roster method:
$A = \{13, 14, 15, 16, 17\}$
$B = \{20, 21, 22, 23, 24\}$
a. Those sets are equivalent as they have the same number of elements.
b. Those sets aren't equal, as their elements are not all the same.