The direction of motion can be determined by the sign of the acceleration.
False
Positive or negative sign of the acceleration is used to denote increasing or decreasing velocity respectively.
E.g. Acceleration due to gravity is +9.8 ms2 for a body falling down indicating an increase in the velocity when the body falls down.
The value of acceleration due to gravity is -9.8 ms2 for a body projected upwards indicating a decrease in the velocity while overcoming the gravitational force.
Consider a body moving in the positive x-direction, and decelerating. The acceleration of the body is negative and the velocity of the body is positive. The velocity is decreasing with time but the body is moving along the positive x-direction. i.e. along the direction of velocity. So, the direction of motion is determined by the sign of velocity.