Is the probability of the absolute value of a RV being less or equal to a is the same as the probability of it being less than a?

Is the probability of the absolute value of a RV being less or equal to a
is the same as the probability of it being less than a?

P( |X| $\leq$ a) = P(a < X < a) ?
Shouldn't it be P(a-1 < X < a-1)?