Given that,
Claire has no more than 45$ to spend. It means that she can spend at most 45$.
The means, the price (x) of new dress should be at max 45$. Hence, the inequality could be:
x =< 45
As, I cannot see x=<45 in the given options. Therefore, the second suitable answer would be x < 45.
So, first and second options are true, if both are the same. Otherwise, it should be x =<45.