Answer
a. yes
b. no
Work Step by Step
$A = \{1, 2, 3, 4, 5\}$
$B = \{0, 1, 2, 3, 4\}$
a. Those sets are equivalent as they have the same number of elements.
b. Those sets aren't equal, as there is at least one element that is present in one, but not the other ($0$).