There can be more than one amplifier (and type of amplifier) in a wireless system, with differente usage.

An output power amplifier which increases the output power, only increases the range in the transmitting direction. So in a bi-directional system if you only amplify the transmitter on one side, you won't get any extra range in the total system (unless the other end already has higher output power, that is).

But there are also amplifiers for reception, often known as LNA's (Low Noise Amplifier) which can be used on the receiver end to amplify the received signal going into the receiver.

So in case you use both an output power amplifier and an LNA on one end, you can definitively increase the range.

Also, as you mention antennas, a directional antenna will have just as much gain in both receiving and transmitting, so that will improve the range even if only used on one side.

There can be more than one amplifier (and type of amplifier) in a wireless system, with different usages.

An output power amplifier which increases the output power, only increases the range in the transmitting direction. So in a bi-directional system if you only amplify the transmitter on one side, you won't get any extra range in the total system (unless the other end already has higher output power, that is).

But there are also amplifiers for reception, often known as LNA's (Low Noise Amplifier) which can be used on the receiver end to amplify the received signal going into the receiver.

So in case you use both an output power amplifier and an LNA on one end, you can definitively increase the range.

Also, as you mention antennas, a directional antenna will have just as much gain in both receiving and transmitting, so that will improve the range even if only used on one side.