  We consider accelerating black holes in four-dimensional anti-de Sitter
spacetime and investigate the extremality relations by examining perturbative
corrections to both the entropy of black holes and their extremality bounds. It
is shown that the so-called Goon and Penco (univeral) relation is also valid
for accelerating black holes. Furthermore, it is found that an appropriate
matching condition is necessary between the perturbation parameter of the
relation with the perturbative correction to such black holes, and the
parameter with information about the conical deficits on the north and south
poles with the cosmic string tensions in order to satisfy the extremality
relations. This result indicates that the extremality (univeral) relation of a
class of accelerating black holes holds exhibit behavior similar to the Weak
Gravity Conjecture.
