The general answer is that active transport may transport material into or out of the cell. Keep in mind that "active transport" is a general term that describes many different processes. In cases of passive transport, material moves only from high concentration to low concentration. Active transport expends energy in order to go "uphill"--transporting material from low to high concentration. So, a transport process is labeled "active transport" if it uses energy and is capable of transporting from low to high concentration ("against a concentration gradient"). There are two kinds of transport. One is diffusion, in which molecules randomly bounce their way through the cell membrane (consisting of a lipid bilayer plus proteins). This diffusion is nonspecific and depends on the size of the molecule and its lipid solubility. It is also passive, since its net direction is from high to low concentration. The other is carrier-mediated, in which the molecule binds to a structure in the membrane, such as a protein. This process is specific, since the membrane structure will only bind to certain molecules. Some passive transport systems are carrier-mediated--their net direction is from high to low. All active transport systems are carrier-mediated and so are specific. Also, most active transport systems are only one way--either into or out of the cell. For example, the Na+ pump transports sodium ions out of the cell. Therefore we can say there are active transport systems that transport material into the cell only and other systems that transport other materials out of the cell. The following is a chart that breaks this down:
TRANSPORT TYPE SPECIFICITY CARRIER OR DIRECTION ENERGY
Diffusion non-specific no carrier from high to low none
Passive specific carrier from high to low none used
Active specific carrier or from low to high uses
We may find examples of any of these which may have a net direction from out to in or in to out of the cell.